WorldCat Identities

Brézis, H. (Haim)

Overview
Works: 299 works in 784 publications in 5 languages and 8,703 library holdings
Genres: Conference papers and proceedings  Interviews 
Roles: Author, Editor, Thesis advisor, Honoree, Other, Dedicatee
Publication Timeline
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Most widely held works about H Brézis
 
Most widely held works by H Brézis
Ginzburg-Landau vortices by "Ginzburg-Landau Vortices" School and Symposium( )

11 editions published in 2005 in English and held by 1,279 WorldCat member libraries worldwide

Shijin Ding: A survey on Ginzburg-Landau vortices of superconducting thin films -- Fanghua Lin, Ping Zhang: On the hydro-dynamic limit of Ginzburg-Landau wave vortices -- Xiangao Liu: Singular sets of the Landau-Lifshitz system -- Fahuai Yi: Analysis of Ginzburg-Landau models for Type I superconductivity -- Jian Zhai: Ferromagnets and Landau-Lifshitz equation
Functional analysis, Sobolev spaces and partial differential equations by H Brézis( Book )

70 editions published between 1983 and 2011 in 5 languages and held by 1,193 WorldCat member libraries worldwide

Uniquely, this book presents a coherent, concise and unified way of combining elements from two distinct?worlds,? functional analysis (FA) and partial differential equations (PDEs), and is intended for students who have a good background in real analysis. This text presents a smooth transition from FA to PDEs by analyzing in great detail the simple case of one-dimensional PDEs (i.e., ODEs), a more manageable approach for the beginner. Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Moreover, the wealth of exercises and additional material presented, leads the reader to the frontier of research. This book has its roots in a celebrated course taught by the author for many years and is a completely revised, updated, and expanded English edition of the important?Analyse Fonctionnelle? (1983). Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English version is a welcome addition to this list. The first part of the text deals with abstract results in FA and operator theory. The second part is concerned with the study of spaces of functions (of one or more real variables) having specific differentiability properties, e.g., the celebrated Sobolev spaces, which lie at the heart of the modern theory of PDEs. The Sobolev spaces occur in a wide range of questions, both in pure and applied mathematics, appearing in linear and nonlinear PDEs which arise, for example, in differential geometry, harmonic analysis, engineering, mechanics, physics etc. and belong in the toolbox of any graduate student studying analysis
Topological methods, variational methods and their applications : Taiyuan, Shan Xi, P.R. China, August 14-18, 2002 by H Brézis( )

12 editions published in 2003 in English and held by 906 WorldCat member libraries worldwide

ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14 18, 2002 at Taiyuan, Shanxi Province, China. This conference was organized by Mathematical School of Peking University, Academy of Mathematics and System Sciences of Chinese Academy of Sciences, Mathematical school of Nankai University, and Department of Mathematics of Shanxi University, and was sponsored by Shanxi Province Education Committee, Tian Yuan Mathematics Foundation, and Shanxi University. Attending the conference were 166 mathematicians from 21 countries and areas in the world with 53 invited speakers and 30 contributors presenting their lectures. This conference aims at an overview of the recent development in nonlinear analysis. It covers the following topics: variational methods, topological methods, fixed point theory, bifurcations, nonlinear spectral theory, nonlinear Schrodinger equations, semilinear elliptic equations, Hamiltonian systems, central configuration in N-body problems and variational problems arising in geometry and physics
Elliptic and parabolic problems : a special tribute to the work of Haim Brezis by Catherine Bandle( )

6 editions published between 2005 and 2006 in English and held by 657 WorldCat member libraries worldwide

This volume contains contributions by former students and collaborators of Haim Brezis given in honor of his 60th anniversary at a conference in Gaeta. H. Brezis has made significant contributions in the fields of partial differential equations and functional analysis. He is an inspiring teacher and counselor of many mathematicians in the front ranks. The collection of papers presented here grew out from his deep insight of analysis. In addition it reflects Brezis's elegant way of creative thinking
Ginzburg-Landau vortices by Fabrice Bethuel( Book )

14 editions published between 1994 and 2017 in English and held by 498 WorldCat member libraries worldwide

This book is concerned with the study in two dimensions of stationary solutions of uɛ of a complex valued Ginzburg-Landau equation involving a small parameter ɛ. Such problems are related to questions occurring in physics, e.g., phase transition phenomena in superconductors and superfluids. The parameter ɛ has a dimension of a length which is usually small. Thus, it is of great interest to study the asymptotics as ɛ tends to zero. One of the main results asserts that the limit u-star of minimizers uɛ exists. Moreover, u-star is smooth except at a finite number of points called defects or vortices in physics. The number of these defects is exactly the Brouwer degree - or winding number - of the boundary condition. Each singularity has degree one - or as physicists would say, vortices are quantized. The singularities have infinite energy, but after removing the core energy we are lead to a concept of finite renormalized energy. The location of the singularities is completely determined by minimizing the renormalized energy among all possible configurations of defects. The limit u-star can also be viewed as a geometrical object. It is a minimizing harmonic map into S1 with prescribed boundary condition g. Topological obstructions imply that every map u into S1 with u = g on the boundary must have infinite energy. Even though u-star has infinite energy, one can think of u-star as having "less" infinite energy than any other map u with u = g on the boundary. The material presented in this book covers mostly original results by the authors. It assumes a moderate knowledge of nonlinear functional analysis, partial differential equations, and complex functions. This book is designed for researchers and graduate students alike, and can be used as a one-semester text. The present softcover reprint is designed to make this classic text available to a wider audience. "...the book gives a very stimulating account of an interesting minimization problem. It can be a fruitful source of ideas for those who work through the material carefully." - Alexander Mielke, Zeitschrift für angewandte Mathematik und Physik 46(5)
Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert by H Brézis( Book )

19 editions published between 1973 and 2014 in French and English and held by 493 WorldCat member libraries worldwide

Ope℗Œrateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
Ginzburg-Landau Vortices by H Brézis( )

2 editions published in 2005 in English and held by 352 WorldCat member libraries worldwide

The GinzburgLandau equation as a mathematical model of superconductors has become an extremely useful tool in many areas of physics where vortices carrying a topological charge appear. The remarkable progress in the mathematical understanding of this equation involves a combined use of mathematical tools from many branches of mathematics. The GinzburgLandau model has been an amazing source of new problems and new ideas in analysis, geometry and topology. This collection will meet the urgent needs of the specialists, scholars and graduate students working in this area or related areas
Nonlinear partial differential equations and their applications : Collège de France seminar by Collège de France( Book )

25 editions published between 1981 and 1994 in English and held by 309 WorldCat member libraries worldwide

This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions. The texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, op
Semigroups, theory and applications by H Brézis( Book )

13 editions published in 1986 in English and held by 259 WorldCat member libraries worldwide

Recent contributions to nonlinear partial differential equations( Book )

11 editions published between 1980 and 1981 in English and held by 258 WorldCat member libraries worldwide

Perspectives in nonlinear partial differential equations : in honor of Haïm Brezis( Book )

9 editions published between 2007 and 2012 in English and held by 235 WorldCat member libraries worldwide

In celebration of Haim Brezis's 60th birthday, a conference was held at the Ecole Polytechnique in Paris, with a program testifying to Brezis's wide-ranging influence on nonlinear analysis and partial differential equations. The articles in this volume are primarily from that conference. They present a rare view of the state of the art of many aspects of nonlinear PDEs, as well as describe new directions that are being opened up in this field. The articles, written by mathematicians at the center of current developments, provide somewhat more personal views of the important developments and challenges. In his own work, Brezis has been a seminal influence in many important areas: critical growth in semi-linear equations, variational analysis of functionals in borderline compactness cases, vector valued equations, the Ginzburg-Landau theory, as well as generalized degree theory and fine properties of Sobolev spaces. This same breadth is reflected in the mathematics in this collection. -- Book cover
Nonlinear evolution equations and related topics : dedicated to Philippe Bénilan by Wolfgang Arendt( Book )

13 editions published in 2004 in English and held by 149 WorldCat member libraries worldwide

Philippe Benilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. This present volume is dedicated to him and contains research papers written by highly distinguished mathematicians. They are all related to Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations. Special topics include: Hamilton-Jacobi equations, the porous medium equation, reaction diffusion systems, integro-differential equations and visco-elasticity, maximal regularity for elliptic and parabolic equations, and the Ornstein Uhlenbeck operator. Also in this special volume, the legendary work of Benilan-Brezis on Thomas-Fermi Theory is published for the first time
Current research in nonlinear analysis : in honor of Haim Brezis and Louis Nirenberg( )

3 editions published in 2018 in English and held by 116 WorldCat member libraries worldwide

Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians. Each contribution aims to broaden reader's understanding of theories, methods, and techniques utilized to solve significant problems. Topics include: Sobolev Spaces Maximal monotone operators A theorem of Brezis-Nirenberg Operator-norm convergence of the Trotter product formula Elliptic operators with infinitely many variables Pseudo-and quasiconvexities for nonsmooth function Anisotropic surface measures Eulerian and Lagrangian variables Multiple periodic solutions of Lagrangian systems Porous medium equation Nondiscrete Lassonde-Revalski principle Graduate students and researchers in mathematics, physics, engineering, and economics will find this book a useful reference for new techniques and research areas. Haim Brezis and Louis Nirenberg's fundamental research in nonlinear functional analysis and nonlinear partial differential equations along with their years of teaching and training students have had a notable impact in the field.--
Nonlinear partial differential equations and their applications : Collège de France seminar( Book )

in English and held by 67 WorldCat member libraries worldwide

Nonlinear partial differential equations and their applications Collège de France Seminar volume 10 by Séminaire de mathématiques appliquées( Book )

11 editions published in 1991 in 3 languages and held by 66 WorldCat member libraries worldwide

Analysis and continuum mechanics : a collection of papers dedicated to J. Serrin on his sixtieth birthday by S. S Antman( )

5 editions published in 1989 in English and held by 61 WorldCat member libraries worldwide

The 39 papers in this collection are devoted mostly to the exact mathematical analysis of problems in continuum mechanics, but also to problems of a purely mathematical nature mainly connected to partial differential equations from continuum physics. All the papers are dedicated to J. Serrin and were originally published in the "Archive of Rational Mechanics and Analysis."
Nonlinear elliptic and parabolic problems : a special tribute to the work of Herbert Amann by H Brézis( )

8 editions published in 2005 in English and held by 55 WorldCat member libraries worldwide

The present volume is dedicated to celebrate the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another, related to the scientific works of Herbert Amann. The contributions cover a wide range of nonlinear elliptic and parabolic equations with applications to natural sciences and engineering. Special topics are fluid dynamics, reaction-diffusion systems, bifurcation theory, maxi
Functional Analysis, Sobolev Spaces and Partial Differential Equations by H Brézis( )

6 editions published between 2010 and 2011 in English and held by 48 WorldCat member libraries worldwide

Uniquely, this book presents a coherent, concise and unified way of combining elements from two distinct "worlds," functional analysis (FA) and partial differential equations (PDEs), and is intended for students who have a good background in real analysis. This text presents a smooth transition from FA to PDEs by analyzing in great detail the simple case of one-dimensional PDEs (i.e., ODEs), a more manageable approach for the beginner. Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Moreover, the wealth of exercises and additional material presented, leads the reader to the frontier of research. This book has its roots in a celebrated course taught by the author for many years and is a completely revised, updated, and expanded English edition of the important "Analyse Fonctionnelle" (1983). Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English version is a welcome addition to this list. The first part of the text deals with abstract results in FA and operator theory. The second part is concerned with the study of spaces of functions (of one or more real variables) having specific differentiability properties, e.g., the celebrated Sobolev spaces, which lie at the heart of the modern theory of PDEs. The Sobolev spaces occur in a wide range of questions, both in pure and applied mathematics, appearing in linear and nonlinear PDEs which arise, for example, in differential geometry, harmonic analysis, engineering, mechanics, physics etc. and belong in the toolbox of any graduate student studying analysis
Nonlinear partial differential equations and their applications by Séminaire de mathématiques appliquées( Book )

10 editions published in 1982 in 3 languages and held by 44 WorldCat member libraries worldwide

 
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WorldCat IdentitiesRelated Identities
Ginzburg-Landau Vortices
Covers
Functional analysis, Sobolev spaces and partial differential equationsTopological methods, variational methods and their applications : Taiyuan, Shan Xi, P.R. China, August 14-18, 2002Elliptic and parabolic problems : a special tribute to the work of Haim BrezisGinzburg-Landau vorticesGinzburg-Landau VorticesNonlinear partial differential equations and their applications : Collège de France seminarPerspectives in nonlinear partial differential equations : in honor of Haïm BrezisNonlinear evolution equations and related topics : dedicated to Philippe Bénilan
Alternative Names
Brézis, H.

Brézis, H. 1944-

Brézis, Haim

Brézis, Haïm, 1944-

Brézis, Haïm R. 1944-...

Haïm Brezis Frans wiskundige

Haïm Brezis fransk matematikar

Haïm Brezis fransk matematiker

Haïm Brezis französischer Mathematiker

Haïm Brezis French mathematician

Haim Brézis matematician francez

Haïm Brezis matemático francés

Haïm Brezis matematico francese

Haïm Brezis mathématicien français

Vienne Jean-Jacques 1944-....

חיים ברזיס מתמטיקאי צרפתי

ブレジス, ハイム

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