New Publications Offered by the AMS To subscribe to email notification of new AMS publications, please go to http://www.ams.org/bookstore-email. Analysis Geometric Analysis and Integral Geometry Eric Todd Quinto, Fulton Gonzalez, and Jens Gerlach Christensen, Tufts University, Medford, MA, Editors This volume contains the proceedings of the AMS Special Session on Radon Transforms and Geometric Analysis, in honor of Sigurdur Helgason’s 85th Birthday, held from January 4–7, 2012, in Boston, MA, and the Tufts University Workshop on Geometric Analysis on Euclidean and Homogeneous Spaces, held from January 8–9, 2012, in Medford, MA. This volume provides an historical overview of several decades in integral geometry and geometric analysis as well as recent advances in these fields and closely related areas. It contains several articles focusing on the mathematical work of Sigurdur Helgason, including an overview of his research by Gestur Ólafsson and Robert Stanton. The first article in the volume contains Helgason’s own reminiscences about the development of the group-theoretical aspects of the Radon transform and its relation to geometric analysis. Other contributions cover Radon transforms, harmonic analysis, Penrose transforms, representation theory, wavelets, partial differential operators on groups, and inverse problems in tomography and cloaking that are related to integral geometry. Many articles contain both an overview of their respective fields as well as new research results. The volume will therefore appeal to experienced researchers as well as a younger generation of mathematicians. With a good blend of pure and applied topics the volume will be a valuable source for interdisciplinary research. Contents: Historical articles: S. Helgason, Some personal remarks on the Radon transform; G. Ólafsson and R. J. Stanton, On the life and work of S. Helgason; Research and expository articles: G. Ambartsoumian, J. Boman, V. P. Krishnan, and E. T. Quinto, Microlocal analysis of an ultrasound transform with circular source and receiver trajectories; N. B. Andersen and M. Flensted–Jensen, Cuspidal discrete series for projective hyperbolic spaces; S. Bernstein and I. Z. Pesenson, The Radon transform on SO(3): Motivations, generalizations, discretization; J. G. Christensen, Atomic decompositions of Besov spaces related to symmetric cones; M. Eastwood, A double fibration transform for complex projective space; T. Kakehi, Magnetic Schrödinger equation on compact symmetric spaces and the geodesic Radon transform of one forms; T. Kobayashi, F -method for constructing equivariant differential operators; H. Liu, Schiffer’s conjecture, interior transmission eigenvalues and invisibility cloaking: Singular problem vs. nonsingular problem; W. R. Madych, Approximate reconstruction from circular and spherical mean Radon transform data; G. Ólafsson, A. Pasquale, and B. Rubin, Analytic and group-theoretic aspects of the cosine transform; H. Oda and T. Oshima, Quantization of linear algebra and its application to integral geometry; F. Rouvière, Mean value theorems on symmetric spaces; B. Rubin, Semyanistyi fractional integrals and Radon transforms; H. Sekiguchi, Radon-Penrose transform between symmetric spaces; J. A. Wolf, Principal series representations of infinite dimensional Lie groups, II: construction of induced representations. Contemporary Mathematics, Volume 598 August 2013, 280 pages, Softcover, ISBN: 978-0-8218-8738-7, LC 2013013624, 2010 Mathematics Subject Classification: 22E30, 43A85, 44A12, 45Q05, 92C55; 22E46, 32L25, 35S30, 65R32, AMS members US$80, List US$100, Order code CONM/598 Advances in Ultrametric Analysis Khodr Shamseddine, University of Manitoba, Winnipeg, Manitoba, Canada, Editor This volume contains papers based on lectures given at the 12th International Conference on p-adic Functional Analysis, which was held at the University of Manitoba on July 2–6, 2012. The articles included in this book feature recent developments in various areas of non-archimedean analysis: branched values and zeros of the derivative of a p-adic meromorphic function, p-adic meromorphic functions f 0 P 0 (f ), g 0 P 0 (g) sharing a small function, properties of composition of analytic functions, partial fractional differentiability, morphisms between ultrametric Banach algebras of continuous functions and maximal ideals of finite dimension, the p-adic q-distributions, Banach spaces over fields with an infinite rank valuation, Grobman-Hartman theorems for diffeomorphisms of Banach spaces over valued fields, integral representations of continuous linear maps on p-adic spaces of continuous functions, non-Archimedean operator algebras, generalized Keller spaces over 984 Notices of the AMS Volume 60, Number 7
Transcript
New PublicationsOffered by the AMSTo subscribe to email notification of new AMS publications,please go to http://www.ams.org/bookstore-email.
Analysis
Geometric Analysis andIntegral Geometry
Eric Todd Quinto, FultonGonzalez, and Jens GerlachChristensen, Tufts University,Medford, MA, Editors
This volume contains the proceedingsof the AMS Special Session on RadonTransforms and Geometric Analysis, inhonor of Sigurdur Helgason’s 85th Birthday,
held from January 4–7, 2012, in Boston, MA, and the Tufts UniversityWorkshop on Geometric Analysis on Euclidean and HomogeneousSpaces, held from January 8–9, 2012, in Medford, MA.
This volume provides an historical overview of several decades inintegral geometry and geometric analysis as well as recent advances inthese fields and closely related areas. It contains several articlesfocusing on the mathematical work of Sigurdur Helgason, includingan overview of his research by Gestur Ólafsson and Robert Stanton.The first article in the volume contains Helgason’s own reminiscencesabout the development of the group-theoretical aspects of the Radontransform and its relation to geometric analysis. Other contributionscover Radon transforms, harmonic analysis, Penrose transforms,representation theory, wavelets, partial differential operators ongroups, and inverse problems in tomography and cloaking that arerelated to integral geometry.
Many articles contain both an overview of their respective fieldsas well as new research results. The volume will therefore appealto experienced researchers as well as a younger generation ofmathematicians. With a good blend of pure and applied topics thevolume will be a valuable source for interdisciplinary research.
Contents: Historical articles: S. Helgason, Some personal remarkson the Radon transform; G. Ólafsson and R. J. Stanton, On thelife and work of S. Helgason; Research and expository articles:G. Ambartsoumian, J. Boman, V. P. Krishnan, and E. T. Quinto,Microlocal analysis of an ultrasound transform with circular sourceand receiver trajectories; N. B. Andersen and M. Flensted–Jensen,Cuspidal discrete series for projective hyperbolic spaces;S. Bernstein and I. Z. Pesenson, The Radon transform on SO(3):Motivations, generalizations, discretization; J. G. Christensen,Atomic decompositions of Besov spaces related to symmetriccones; M. Eastwood, A double fibration transform for complex
projective space; T. Kakehi, Magnetic Schrödinger equation oncompact symmetric spaces and the geodesic Radon transform ofone forms; T. Kobayashi, F -method for constructing equivariantdifferential operators; H. Liu, Schiffer’s conjecture, interiortransmission eigenvalues and invisibility cloaking: Singular problemvs. nonsingular problem; W. R. Madych, Approximate reconstructionfrom circular and spherical mean Radon transform data; G. Ólafsson,A. Pasquale, and B. Rubin, Analytic and group-theoretic aspects ofthe cosine transform; H. Oda and T. Oshima, Quantization of linearalgebra and its application to integral geometry; F. Rouvière, Meanvalue theorems on symmetric spaces; B. Rubin, Semyanistyi fractionalintegrals and Radon transforms; H. Sekiguchi, Radon-Penrosetransform between symmetric spaces; J. A. Wolf, Principal seriesrepresentations of infinite dimensional Lie groups, II: construction ofinduced representations.
Contemporary Mathematics, Volume 598
August 2013, 280 pages, Softcover, ISBN: 978-0-8218-8738-7, LC
This volume contains papers based onlectures given at the 12th InternationalConference on p-adic Functional Analysis,which was held at the University ofManitoba on July 2–6, 2012.
The articles included in this book feature recent developments invarious areas of non-archimedean analysis: branched values andzeros of the derivative of a p-adic meromorphic function, p-adicmeromorphic functions f ′P ′(f ), g′P ′(g) sharing a small function,properties of composition of analytic functions, partial fractionaldifferentiability, morphisms between ultrametric Banach algebras ofcontinuous functions and maximal ideals of finite dimension, thep-adic q-distributions, Banach spaces over fields with an infiniterank valuation, Grobman-Hartman theorems for diffeomorphismsof Banach spaces over valued fields, integral representations ofcontinuous linear maps on p-adic spaces of continuous functions,non-Archimedean operator algebras, generalized Keller spaces over
valued fields, proper multiplications on the completion of a totallyordered abelian group, the Grothendieck approximation theory innon-Archimedean functional analysis, generalized power seriesspaces, measure theory and the study of power series and analyticfunctions on the Levi-Civita fields.
Through a combination of new research articles and surveypapers, this book provides the reader with an overview of currentdevelopments and techniques in non-archimedean analysis as well asa broad knowledge of some of the sub-areas of this exciting andfast-developing research area.
This item will also be of interest to those working in algebra andalgebraic geometry.
Contents: M. Berz and S. Troncoso, Affine invariant measures inLevi-Civita vector spaces and Erdös obtuse angle theorem; J.-P.Bézivin, K. Boussaf, and A. Escassut, Some old and new resultson zeros of the derivative of a p-adic meromorphic function;K. Boussaf, A. Escassut, and J. Ojeda, Survey onp-adic meromorphicfunctions f ′P ′(f ), g′P ′(g) sharing a small function and additionalproperties; B. Diarra, The p-adic q-distributions; A. Escassut andN. Maïnetti, Morphisms between ultrametric Banach algebras andmaximal ideals of finite codimension; A. Escassut and J. Ojeda,Survey on branched values and exceptional values for p-adicmeromorphic functions; H. Glöckner, Grobman-Hartman theoremsfor diffeomorphisms of Banach spaces over valued fields; A. K.Katsaras, Integral representations of continuous linear maps onp-adic spaces of continuous functions; H. A. Keller, Subfieldsof valued, complete fields; A. N. Kochubei, On some classes ofnon-Archimedean operator algebras; H. Maïga and F. Tangara, Someidentities and congruences for Stirling numbers of the secondkind; H. M. Moreno, Non-measurable sets in the Levi-Civita field;E. Nagel, Partial fractional differentiability; H. Ochsenius andE. Olivos, A generalized space over a field with a valuation of rankα > ω; H. Ochsenius and E. Olivos, A comprehensive survey ofnon-archimedean analysis in Banach spaces over fields with aninfinite rank valuation; E. Olivos and W. H. Schikhof, All propermultiplications on the completion of a totally ordered albeliangroup; C. Perez-Garcia, The Grothendieck approximation theoryin non-archimedean functional analysis; K. Shamseddine, A briefsurvey of the study of power series and analytic functions on theLevi-Civita fields; W. Sliwa, On non-archimedean generalized powerseries spaces.
Contemporary Mathematics, Volume 596
September 2013, approximately 289 pages, Softcover, ISBN: 978-0-
Kening Lu, Brigham YoungUniversity, Provo, UT, QiudongWang, University of Arizona,Tucson, AZ, and Lai-Sang Young,Courant Institute of MathematicalSciences, New York University, NY
Contents: Introduction; Basic definitions and facts; Statement oftheorems; Invariant manifolds; Canonical form of equations aroundthe limit cycle; Preliminary estimates on solutions of the unforcedequation; Time-T map of forced equation and derived 2-D system;Strange attractors with SRB measures; Application: The Brusselator;Appendix A. Proofs of Propositions 3.1–3.3; Appendix B. Proof ofProposition 7.5; Appendix C. Proofs of Proposition 8.1 and Lemma 8.2;Bibliography.
Memoirs of the American Mathematical Society, Volume 224,Number 1054
June 2013, 85 pages, Softcover, ISBN: 978-0-8218-8484-3, LC
AMS members US$55.20, List US$69, Order code MEMO/224/1054
Geometry and Topology
Fixed Point Theoremsfor Plane Continua withApplications
Alexander M. Blokh, Universityof Alabama, Birmingham, AL,Robbert J. Fokkink, DelftInstitute of Applied Mathematics,Netherlands, John C. Mayer andLex G. Oversteegen, Universityof Alabama, Birmingham, AL,and E. D. Tymchatyn, Universityof Saskatchewan, Saskatoon, SK,Canada
Contents: Introduction; Part 1. Basic Theory: Preliminaries andoutline of Part 1; Tools; Partitions of domains in the sphere; Part 2.Applications of Basic Theory: Description of main results of Part 2;Outchannels and their properties; Fixed points; Bibliography; Index.
Memoirs of the American Mathematical Society, Volume 224,Number 1053
June 2013, 97 pages, Softcover, ISBN: 978-0-8218-8488-1, LC
Craig D. Hodgson, University ofMelbourne, Parkville, Victoria,Australia, William H. Jaco,Oklahoma State University,Stillwater, OK, Martin G.Scharlemann, University ofCalifornia, Santa Barbara, CA, andStephan Tillmann, University ofSydney, NSW, Australia, Editors
This book contains the proceedings of the conference Geometry &Topology Down Under, held July 11–22, 2011, at the University ofMelbourne, Melbourne, Australia, in honour of Hyam Rubinstein.
The main topic of the book is low-dimensional geometry and topology.It includes both survey articles based on courses presented at theconferences and research articles devoted to important questions inlow-dimensional geometry. Together, these contributions show howmethods from different fields of mathematics contribute to the studyof 3-manifolds and Gromov hyperbolic groups. It also contains a listof favorite problems by Hyam Rubinstein.
Contents: Survey and expository papers: J. Hass, What is an almostnormal surface?; D. Calegari, The ergodic theory of hyperbolicgroups; S. Hong and D. McCullough, Mapping class groups of3-manifolds, then and now; B. H. Bowditch, Stacks of hyperbolicspaces and ends of 3-manifolds; E. Carberry, Harmonic mapsand integrable systems; H. Rubinstein, Some of Hyam’s favouriteproblems; Research papers: D. Bachman, R. Derby-Talbot, andE. Sedgwick, Almost normal surfaces with boundary; B. A. Burton,Computational topology with Regina: Algorithms, heuristics andimplementations; A. Clay and M. Teragaito, Left-orderabilityand exceptional Dehn surgery on two-bridge knots; A. Deruelle,M. Eudave-Muñoz, K. Miyazaki, and K. Motegi, Networking Seifertsurgeries on knots IV: Seiferters and branched coverings; S. Friedl,Commensurability of knots and L2-invariants; J. A. Hillman, Thegroups of fibred 2-knots; C. Hodgson and H. Masai, On the number ofhyperbolic 3-manifolds of a given volume; K. Ichihara and I. D. Jong,Seifert fibered surgery and Rasmussen invariant; F. Luo, Existenceof spherical angle structures on 3-manifolds; J. H. Rubinstein andA. Thompson, 3-manifolds with Heegaard splittings of distance two;M. Scharlemann, Generating the genus g+ 1 Goeritz group of a genusg handlebody.
Contemporary Mathematics, Volume 597
August 2013, approximately 383 pages, Softcover, ISBN: 978-0-8218-
53C43, AMS members US$98.40, List US$123, Order code CONM/597
Mathematical Physics
Non-cooperativeEquilibria of FermiSystems with LongRange Interactions
J.-B. Bru, Universidad del PaisVasco, Bilbao, Spain, and W. deSiqueira Pedra, Universität Mainz,Germany
Contents: Part 1. Main Results and Discussions: Fermi systemson lattices; Fermi systems with long-range interactions; Part 2.Complementary Results: Periodic boundary conditions and Gibbs
equilibrium states; The set E ~of ~.Zd–invariant states; Permutationinvariant Fermi systems; Analysis of the pressure via t.i. states; Purelyattractive long–range Fermi systems; The max–min and min–maxvariational problems; Bogoliubov approximation and effectivetheories; Appendix; Bibliography; Index of notation; Index.
Memoirs of the American Mathematical Society, Volume 224,Number 1052
June 2013, 155 pages, Softcover, ISBN: 978-0-8218-8976-3, LC
46A55, 58E30, AMS members US$64, List US$80, Order code
MEMO/224/1052
Number Theory
Kuznetsov’s TraceFormula and the HeckeEigenvalues of MaassForms
A. Knightly, University of Maine,Orono, ME, and C. Li, The ChineseUniversity of Hong Kong, China
Contents: Introduction; Preliminaries;Bi-K∞-invariant functions on GL2(R);
Maass cusp forms; Eisenstein series; The kernel of R(f ); A Fouriertrace formula for GL(2); Validity of the KTF for a broader classof h; Kloosterman sums; Equidistribution of Hecke eigenvalues;Bibliography; Notation index; Subject index.
Memoirs of the American Mathematical Society, Volume 224,Number 1055
June 2013, 132 pages, Softcover, ISBN: 978-0-8218-8744-8, LC
Daniel W. Stroock, MassachusettsInstitute of Technology, Cambridge,MA
This book covers the basics of modernprobability theory. It begins with probabilitytheory on finite and countable samplespaces and then passes from there to aconcise course on measure theory, which is
followed by some initial applications to probability theory, includingindependence and conditional expectations. The second half of thebook deals with Gaussian random variables, with Markov chains,with a few continuous parameter processes, including Brownianmotion, and, finally, with martingales, both discrete and continuousparameter ones.
The book is a self-contained introduction to probability theory andthe measure theory required to study it.
Contents: Some background and preliminaries; Probability theoryon uncountable sample spaces; Some applications to probabilitytheory; The central limit theorem and Gaussian distributions; Discreteparameter stochastic processes; Some continuous-time processes;Martingales; Notation; Bibliography; Index.
Graduate Studies in Mathematics, Volume 149
August 2013, 284 pages, Hardcover, ISBN: 978-1-4704-0907-4, LC
Bogdan Bojarski, Institute ofMathematics, PAN, Warsaw, Poland,Vladimir Gutlyanskii, NationalAcademy of Sciences of Ukraine,Donetsk, Ukraine, Olli Martio,Finnish Academy of Science andLetters, Helsinki, Finland, andVladimir Ryazanov, NationalAcademy of Sciences of Ukraine,Donetsk, Ukraine
This book is intended for researchers interested in new aspectsof local behavior of plane mappings and their applications. Thepresentation is self-contained, but the reader is assumed to knowbasic complex and real analysis.
The study of the local and boundary behavior of quasiconformaland bi-Lipschitz mappings in the plane forms the core of the book.The concept of the infinitesimal space is used to investigate thebehavior of a mapping at points without differentiability. Thisconcept, based on compactness properties, is applied to regularityproblems of quasiconformal mappings and quasiconformal curves,boundary behavior, weak and asymptotic conformality, localwinding properties, variation of quasiconformal mappings, andcriteria of univalence. Quasiconformal and bi-Lipschitz mappingsare instrumental for understanding elasticity, control theory andtomography, and the book also offers a new look at the classical areassuch as the boundary regularity of a conformal map. Complicatedlocal behavior is illustrated by many examples.
The text offers a detailed development of the background for graduatestudents and researchers. Starting with the classical methods to studyquasiconformal mappings, this treatment advances to the conceptof the infinitesimal space and then relates it to other regularityproperties of mappings in Part II. The new unexpected connectionsbetween quasiconformal and bi-Lipschitz mappings are treated inPart III. There is an extensive bibliography.
This item will also be of interest to those working in differentialequations.
A publication of the European Mathematical Society (EMS). Distributedwithin the Americas by the American Mathematical Society.
Contents: I. Quasiconformal Mappings in the Plane: Background ofthe theory; Conformal invariants; Definitions of quasiconformalmaps; Compactness and convergence theory; Beltrami differential
equation; II. Infinitesimal Geometry of Quasiconformal Maps:Infinitesimal space; Asymptotically conformal curves; Conformaldifferentiability; Points of maximal stretching; Lipschitz continuityof quasiconformal maps; Regularity of quasiconformal curves;Regularity of conformal maps at the boundary; III. Applicationsof Quasiconformal Maps: John’s rotation problem; Variation ofquasiconformal maps; Criteria of univalence; Bibliography; Index.
EMS Tracts in Mathematics, Volume 19
May 2013, 214 pages, Hardcover, ISBN: 978-3-03719-122-4, 2010
Joaquim Bruna and Julià Cufí,Universitat Autonoma de Barcelona,Spain
The theory of functions of a complexvariable is a central theme in mathematicalanalysis that has links to several branchesof mathematics. Understanding the basicsof the theory is necessary for anyoneinterested in general mathematical training
or for anyone who wants to use mathematics in applied sciences ortechnology.
The book presents the basic theory of analytic functions of a complexvariable and their points of contact with other parts of mathematicalanalysis. This results in some new approaches to a number of topicswhen compared to the current literature on the subject.
Some issues covered are: a real version of the Cauchy–Goursattheorem, theorems of vector analysis with weak regularityassumptions, an approach to the concept of holomorphic functions ofreal variables, Green’s formula with multiplicities, Cauchy’s theoremfor locally exact forms, a study in parallel of Poisson’s equation andthe inhomogeneous Cauchy–Riemann equations, the relationshipbetween Green’s function and conformal mapping, the connectionbetween the solution of Poisson’s equation and zeros of holomorphicfunctions, and the Whittaker–Shannon theorem of informationtheory.
The text can be used as a manual for complex variable courses ofvarious levels and as a reference book. The only prerequisite is aworking knowledge of the topology of the plane and the differentialcalculus for functions of several real variables. A detailed treatment ofharmonic functions also makes the book useful as an introduction topotential theory.
A publication of the European Mathematical Society (EMS). Distributedwithin the Americas by the American Mathematical Society.
Contents: Arithmetic and topology in the complex plane; Functions ofa complex variable; Holomorphic functions and differential forms;Local properties of holomorphic functions; Isolated singularitiesof holomorphic functions; Homology and holomorphic functions;Harmonic functions; Conformal mapping; The Riemann mappingtheorem and Dirichlet’s problem; Runge’s theorem and theCauchy–Riemann equations; Zeros of holomorphic functions; Thecomplex Fourier transform; References; Symbols; Index.
EMS Textbooks in Mathematics, Volume 14
May 2013, 576 pages, Hardcover, ISBN: 978-3-03719-111-8, 2010
Mathematics Subject Classification: 30-01, 31-01, AMS members
US$62.40, List US$78, Order code EMSTEXT/14
Erwin Schrödinger—50Years After
Wolfgang L. Reiter and JakobYngvason, University of Vienna,Austria, Editors
Erwin Schrödinger (1887–1961) was anAustrian physicist famous for the equationnamed after him and which earned himthe Nobel Prize in 1933. This book containslectures presented at the international
symposium “Erwin Schrödinger —50 Years After”, held at the ErwinSchrödinger International Institute for Mathematical Physics inJanuary 2011 to commemorate the 50th anniversary of Schrödinger’sdeath.
The text covers a broad spectrum of topics ranging from personalreminiscences to foundational questions about quantum mechanicsand historical accounts of Schrödinger’s work. Besides the lecturespresented at the symposium the volume also contains articlesspecially written for this occasion.
The contributions give an overview of Schrödinger’s legacy to thesciences from the standpoint of some contemporary leading scholarsin the field.
A publication of the European Mathematical Society (EMS). Distributedwithin the Americas by the American Mathematical Society.
Contents: W. Thirring, Erwin Schrödinger: Personal reminiscences;J. Renn, Schrödinger and the genesis of wave mechanics; J. Fröhlichand B. Schubnel, Do we understand quantum mechanics—finally?;A. J. Leggett, Schrödinger’s cat and her laboratory cousins; M. Müllerand P. Zoller, Digital and open system quantum simulation withtrapped ions; R. Kaltenbaek and M. Aspelmeyer, OptomechanicalSchrödinger cats—a case for space; H. Kragh, A quantumdiscontinuity: the Bohr–Schrödinger dialogue; A. J. Knox, The debatebetween Hendrik A. Lorentz and Schrödinger on wave mechanics;O. Darrigol, A few reasons why Louis de Broglie discovered Broglie’swaves and yet did not discover Schrödinger’s equation; Chronology;List of contributors; Name index; Subject index.
ESI Lectures in Mathematics and Physics, Volume 9
April 2013, 195 pages, Hardcover, ISBN: 978-3-03719-121-7, 2010
Local Function Spaces,Heat and Navier–StokesEquations
Hans Triebel, University of Jena,Germany
In this book a new approach is presentedto exhibit relations between Sobolev spaces,Besov spaces, and Hölder–Zygmund spaceson the one hand and Morrey–Campanato
spaces on the other. Morrey–Campanato spaces extend the notionof functions of bounded mean oscillation. These spaces play animportant role in the theory of linear and nonlinear PDEs.
Chapters 1–3 deal with local smoothness spaces in Euclidean n-spacebased on the Morrey–Campanato refinement of the Lebesgue spaces.The presented approach relies on wavelet decompositions. This isapplied in Chapter 4 to Gagliardo–Nirenberg inequalities. Chapter 5deals with linear and nonlinear heat equations in global and localfunction spaces. The obtained assertions about function spaces andnonlinear heat equations are used in Chapter 6 to study Navier–Stokesequations.
The book is addressed to graduate students and mathematicianswith a working knowledge of basic elements of (global) functionspaces and an interest in applications to nonlinear PDEs with heat andNavier–Stokes equations as prototypes.
A publication of the European Mathematical Society (EMS). Distributedwithin the Americas by the American Mathematical Society.
Contents: Global and local spaces; Local spaces: Properties;Morrey–Campanato spaces; Gagliardo–Nirenberg inequalities; Heatequations; Navier–Stokes equations; Bibliography; Symbols; Index.
EMS Tracts in Mathematics, Volume 20
May 2013, 241 pages, Hardcover, ISBN: 978-3-03719-123-1, 2010
