The Maz'ya Anniversary Collection

The Maz'ya Anniversary Collection

Author: Jürgen Rossmann

Publisher: Springer Science & Business Media

Published: 1999-09

Total Pages: 372

ISBN-13: 9783764362027

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This is the second volume of a collection of articles dedicated to V.G Maz'ya on the occasion of his 60th birthday. It contains most of the invited lectures of the Conference on Functional Analysis, Partial Differential Equations and Applications held in Rostock in September 1998 in honor of V.G Maz'ya. Here different problems of functional analysis, potential theory, linear and nonlinear partial differential equations, theory of function spaces and numerical analysis are treated. The authors, who are outstanding experts in these fields, present surveys as well as new results. The first volume contains surveys on his work in different fields of mathematics or on areas to which he made essential contributions. Other articles of this book have their origin in the common work with Maz'ya. V.G Maz'ya is author or co-author of more than 300 scientific works on various fields of functional analysis, function theory, numerical analysis, partial differential equations and their application. The reviews in this book show his enormous productivity and the large variety of his work.


Book Synopsis The Maz'ya Anniversary Collection by : Jürgen Rossmann

Download or read book The Maz'ya Anniversary Collection written by Jürgen Rossmann and published by Springer Science & Business Media. This book was released on 1999-09 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of a collection of articles dedicated to V.G Maz'ya on the occasion of his 60th birthday. It contains most of the invited lectures of the Conference on Functional Analysis, Partial Differential Equations and Applications held in Rostock in September 1998 in honor of V.G Maz'ya. Here different problems of functional analysis, potential theory, linear and nonlinear partial differential equations, theory of function spaces and numerical analysis are treated. The authors, who are outstanding experts in these fields, present surveys as well as new results. The first volume contains surveys on his work in different fields of mathematics or on areas to which he made essential contributions. Other articles of this book have their origin in the common work with Maz'ya. V.G Maz'ya is author or co-author of more than 300 scientific works on various fields of functional analysis, function theory, numerical analysis, partial differential equations and their application. The reviews in this book show his enormous productivity and the large variety of his work.

Linear and Complex Analysis

Linear and Complex Analysis

Author: Alexei Alexandrov

Publisher: American Mathematical Soc.

Published:

Total Pages: 275

ISBN-13: 0821890786

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Book Synopsis Linear and Complex Analysis by : Alexei Alexandrov

Download or read book Linear and Complex Analysis written by Alexei Alexandrov and published by American Mathematical Soc.. This book was released on with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:

50 Years with Hardy Spaces

50 Years with Hardy Spaces

Author: Anton Baranov

Publisher: Birkhäuser

Published: 2018-03-28

Total Pages: 484

ISBN-13: 3319590782

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Written in honor of Victor Havin (1933–2015), this volume presents a collection of surveys and original papers on harmonic and complex analysis, function spaces and related topics, authored by internationally recognized experts in the fields. It also features an illustrated scientific biography of Victor Havin, one of the leading analysts of the second half of the 20th century and founder of the Saint Petersburg Analysis Seminar. A complete list of his publications, as well as his public speech "Mathematics as a source of certainty and uncertainty", presented at the Doctor Honoris Causa ceremony at Linköping University, are also included.


Book Synopsis 50 Years with Hardy Spaces by : Anton Baranov

Download or read book 50 Years with Hardy Spaces written by Anton Baranov and published by Birkhäuser. This book was released on 2018-03-28 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in honor of Victor Havin (1933–2015), this volume presents a collection of surveys and original papers on harmonic and complex analysis, function spaces and related topics, authored by internationally recognized experts in the fields. It also features an illustrated scientific biography of Victor Havin, one of the leading analysts of the second half of the 20th century and founder of the Saint Petersburg Analysis Seminar. A complete list of his publications, as well as his public speech "Mathematics as a source of certainty and uncertainty", presented at the Doctor Honoris Causa ceremony at Linköping University, are also included.

Topological Methods, Variational Methods and Their Applications

Topological Methods, Variational Methods and Their Applications

Author: Haim Br‚zis

Publisher: World Scientific

Published: 2003

Total Pages: 302

ISBN-13: 9812382623

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ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 1418, 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. 166 mathematicians from 21 countries and areas in the world attended the conference. 53 invited speakers and 30 contributors presented 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 Schrvdinger equations, semilinear elliptic equations, Hamiltonian systems, central configuration in N-body problems and variational problems arising in geometry and physics.


Book Synopsis Topological Methods, Variational Methods and Their Applications by : Haim Br‚zis

Download or read book Topological Methods, Variational Methods and Their Applications written by Haim Br‚zis and published by World Scientific. This book was released on 2003 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 1418, 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. 166 mathematicians from 21 countries and areas in the world attended the conference. 53 invited speakers and 30 contributors presented 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 Schrvdinger equations, semilinear elliptic equations, Hamiltonian systems, central configuration in N-body problems and variational problems arising in geometry and physics.

Topological Methods, Variational Methods and Their Applications

Topological Methods, Variational Methods and Their Applications

Author: H Brezis

Publisher: World Scientific

Published: 2003-03-13

Total Pages: 300

ISBN-13: 9814486760

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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. 166 mathematicians from 21 countries and areas in the world attended the conference. 53 invited speakers and 30 contributors presented 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 Schrödinger equations, semilinear elliptic equations, Hamiltonian systems, central configuration in N-body problems and variational problems arising in geometry and physics. Contents:The Underlying Geometry of the Fixed Centers Problems (A Albouy)Critical Equations for the Polyharmonic Operator (T Bartsch)Heat Method in Nonlinear Elliptic Equations (K-C Chang)Boundary Blow-Up Solutions and Their Applications (Y H Du)Fixed Points of Increasing Operator (F Y Li)Collinear Central Configurations in Celestial Mechanics (Y M Long & S Z Sun)Remarks on a Priori Estimates for Superlinear Elliptic Problems (M Ramos)A Semilinear Schrödinger Equation with Magnetic Field (A Szulkin)Sign Changing Solutions of Superlinear Schrödinger Equations (T Weth)Computational Theory and Methods for Finding Multiple Critical Points (J X Zhou)and other papers Readership: Researchers and graduate students in nonlinear differential equations, nonlinear functional analysis, dynamical systems, mathematical physics etc. Keywords:Variational Mthods;Topological Methods;Hamiltonian Systems;Nonlinear Schrödinger Equation;Dynamic System


Book Synopsis Topological Methods, Variational Methods and Their Applications by : H Brezis

Download or read book Topological Methods, Variational Methods and Their Applications written by H Brezis and published by World Scientific. This book was released on 2003-03-13 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. 166 mathematicians from 21 countries and areas in the world attended the conference. 53 invited speakers and 30 contributors presented 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 Schrödinger equations, semilinear elliptic equations, Hamiltonian systems, central configuration in N-body problems and variational problems arising in geometry and physics. Contents:The Underlying Geometry of the Fixed Centers Problems (A Albouy)Critical Equations for the Polyharmonic Operator (T Bartsch)Heat Method in Nonlinear Elliptic Equations (K-C Chang)Boundary Blow-Up Solutions and Their Applications (Y H Du)Fixed Points of Increasing Operator (F Y Li)Collinear Central Configurations in Celestial Mechanics (Y M Long & S Z Sun)Remarks on a Priori Estimates for Superlinear Elliptic Problems (M Ramos)A Semilinear Schrödinger Equation with Magnetic Field (A Szulkin)Sign Changing Solutions of Superlinear Schrödinger Equations (T Weth)Computational Theory and Methods for Finding Multiple Critical Points (J X Zhou)and other papers Readership: Researchers and graduate students in nonlinear differential equations, nonlinear functional analysis, dynamical systems, mathematical physics etc. Keywords:Variational Mthods;Topological Methods;Hamiltonian Systems;Nonlinear Schrödinger Equation;Dynamic System

Eddy Current Approximation of Maxwell Equations

Eddy Current Approximation of Maxwell Equations

Author: Ana Alonso Rodriguez

Publisher: Springer Science & Business Media

Published: 2010-11-22

Total Pages: 355

ISBN-13: 8847015065

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This book deals with the mathematical analysis and the numerical approximation of eddy current problems in the time-harmonic case. It takes into account all the most used formulations, placing the problem in a rigorous functional framework.


Book Synopsis Eddy Current Approximation of Maxwell Equations by : Ana Alonso Rodriguez

Download or read book Eddy Current Approximation of Maxwell Equations written by Ana Alonso Rodriguez and published by Springer Science & Business Media. This book was released on 2010-11-22 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the mathematical analysis and the numerical approximation of eddy current problems in the time-harmonic case. It takes into account all the most used formulations, placing the problem in a rigorous functional framework.

The Dirichlet Space and Related Function Spaces

The Dirichlet Space and Related Function Spaces

Author: Nicola Arcozzi

Publisher: American Mathematical Soc.

Published: 2019-09-03

Total Pages: 536

ISBN-13: 1470450828

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The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and functional analysis. It was introduced about100 years ago and continues to be an area of active current research. The theory is related to such important themes as multipliers, reproducing kernels, and Besov spaces, among others. The authors present the theory of the Dirichlet space and related spaces starting with classical results and including some quite recent achievements like Dirichlet-type spaces of functions in several complex variables and the corona problem. The first part of this book is an introduction to the function theory and operator theory of the classical Dirichlet space, a space of holomorphic functions on the unit disk defined by a smoothness criterion. The Dirichlet space is also a Hilbert space with a reproducing kernel, and is the model for the dyadic Dirichlet space, a sequence space defined on the dyadic tree. These various viewpoints are used to study a range of topics including the Pick property, multipliers, Carleson measures, boundary values, zero sets, interpolating sequences, the local Dirichlet integral, shift invariant subspaces, and Hankel forms. Recurring themes include analogies, sometimes weak and sometimes strong, with the classical Hardy space; and the analogy with the dyadic Dirichlet space. The final chapters of the book focus on Besov spaces of holomorphic functions on the complex unit ball, a class of Banach spaces generalizing the Dirichlet space. Additional techniques are developed to work with the nonisotropic complex geometry, including a useful invariant definition of local oscillation and a sophisticated variation on the dyadic Dirichlet space. Descriptions are obtained of multipliers, Carleson measures, interpolating sequences, and multiplier interpolating sequences; estimates are obtained to prove corona theorems.


Book Synopsis The Dirichlet Space and Related Function Spaces by : Nicola Arcozzi

Download or read book The Dirichlet Space and Related Function Spaces written by Nicola Arcozzi and published by American Mathematical Soc.. This book was released on 2019-09-03 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and functional analysis. It was introduced about100 years ago and continues to be an area of active current research. The theory is related to such important themes as multipliers, reproducing kernels, and Besov spaces, among others. The authors present the theory of the Dirichlet space and related spaces starting with classical results and including some quite recent achievements like Dirichlet-type spaces of functions in several complex variables and the corona problem. The first part of this book is an introduction to the function theory and operator theory of the classical Dirichlet space, a space of holomorphic functions on the unit disk defined by a smoothness criterion. The Dirichlet space is also a Hilbert space with a reproducing kernel, and is the model for the dyadic Dirichlet space, a sequence space defined on the dyadic tree. These various viewpoints are used to study a range of topics including the Pick property, multipliers, Carleson measures, boundary values, zero sets, interpolating sequences, the local Dirichlet integral, shift invariant subspaces, and Hankel forms. Recurring themes include analogies, sometimes weak and sometimes strong, with the classical Hardy space; and the analogy with the dyadic Dirichlet space. The final chapters of the book focus on Besov spaces of holomorphic functions on the complex unit ball, a class of Banach spaces generalizing the Dirichlet space. Additional techniques are developed to work with the nonisotropic complex geometry, including a useful invariant definition of local oscillation and a sophisticated variation on the dyadic Dirichlet space. Descriptions are obtained of multipliers, Carleson measures, interpolating sequences, and multiplier interpolating sequences; estimates are obtained to prove corona theorems.

Function Spaces and Partial Differential Equations

Function Spaces and Partial Differential Equations

Author: Ali Taheri

Publisher: OUP Oxford

Published: 2015-07-30

Total Pages: 500

ISBN-13: 0191047821

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This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs). Coverage of the material is essentially self-contained, extensive and novel with great attention to details and rigour. The strength of the book primarily lies in its clear and detailed explanations, scope and coverage, highlighting and presenting deep and profound inter-connections between different related and seemingly unrelated disciplines within classical and modern mathematics and above all the extensive collection of examples, worked-out and hinted exercises. There are well over 700 exercises of varying level leading the reader from the basics to the most advanced levels and frontiers of research. The book can be used either for independent study or for a year-long graduate level course. In fact it has its origin in a year-long graduate course taught by the author in Oxford in 2004-5 and various parts of it in other institutions later on. A good number of distinguished researchers and faculty in mathematics worldwide have started their research career from the course that formed the basis for this book.


Book Synopsis Function Spaces and Partial Differential Equations by : Ali Taheri

Download or read book Function Spaces and Partial Differential Equations written by Ali Taheri and published by OUP Oxford. This book was released on 2015-07-30 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs). Coverage of the material is essentially self-contained, extensive and novel with great attention to details and rigour. The strength of the book primarily lies in its clear and detailed explanations, scope and coverage, highlighting and presenting deep and profound inter-connections between different related and seemingly unrelated disciplines within classical and modern mathematics and above all the extensive collection of examples, worked-out and hinted exercises. There are well over 700 exercises of varying level leading the reader from the basics to the most advanced levels and frontiers of research. The book can be used either for independent study or for a year-long graduate level course. In fact it has its origin in a year-long graduate course taught by the author in Oxford in 2004-5 and various parts of it in other institutions later on. A good number of distinguished researchers and faculty in mathematics worldwide have started their research career from the course that formed the basis for this book.

Acoustic and Electromagnetic Equations

Acoustic and Electromagnetic Equations

Author: Jean-Claude Nedelec

Publisher: Springer Science & Business Media

Published: 2001-03-30

Total Pages: 356

ISBN-13: 9780387951553

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Acoustic and electromagnetic waves underlie a range of modern technology from sonar, radio, and television to microwave heating and electromagnetic compatibility analysis. This book, written by an international researcher, presents some of the research in a complete way. It is useful for graduate students in mathematics, physics, and engineering.


Book Synopsis Acoustic and Electromagnetic Equations by : Jean-Claude Nedelec

Download or read book Acoustic and Electromagnetic Equations written by Jean-Claude Nedelec and published by Springer Science & Business Media. This book was released on 2001-03-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acoustic and electromagnetic waves underlie a range of modern technology from sonar, radio, and television to microwave heating and electromagnetic compatibility analysis. This book, written by an international researcher, presents some of the research in a complete way. It is useful for graduate students in mathematics, physics, and engineering.

Handbook of Differential Equations: Evolutionary Equations

Handbook of Differential Equations: Evolutionary Equations

Author: C.M. Dafermos

Publisher: Elsevier

Published: 2008-10-06

Total Pages: 609

ISBN-13: 0080931979

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The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE’s, written by leading experts. - Review of new results in the area- Continuation of previous volumes in the handbook series covering Evolutionary PDEs- Written by leading experts


Book Synopsis Handbook of Differential Equations: Evolutionary Equations by : C.M. Dafermos

Download or read book Handbook of Differential Equations: Evolutionary Equations written by C.M. Dafermos and published by Elsevier. This book was released on 2008-10-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE’s, written by leading experts. - Review of new results in the area- Continuation of previous volumes in the handbook series covering Evolutionary PDEs- Written by leading experts