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Author: Kazuaki Taira
Publisher: Cambridge University Press
ISBN: 1316757358
Category : Mathematics
Languages : en
Pages : 348
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Book Description
A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic differential equations, with a focus on the relationship between analytic semigroups and initial boundary value problems. This semigroup approach is distinguished by the extensive use of the ideas and techniques characteristic of the recent developments in the theory of pseudo-differential operators, one of the most influential works in the modern history of analysis. Complete with ample illustrations and additional references, this new edition offers both streamlined analysis and better coverage of important examples and applications. A powerful method for the study of elliptic boundary value problems, capable of further extensive development, is provided for advanced undergraduates or beginning graduate students, as well as mathematicians with an interest in functional analysis and partial differential equations.
Author: Kazuaki Taira
Publisher: Cambridge University Press
ISBN: 1316757358
Category : Mathematics
Languages : en
Pages : 348
Get Book Here
Book Description
A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic differential equations, with a focus on the relationship between analytic semigroups and initial boundary value problems. This semigroup approach is distinguished by the extensive use of the ideas and techniques characteristic of the recent developments in the theory of pseudo-differential operators, one of the most influential works in the modern history of analysis. Complete with ample illustrations and additional references, this new edition offers both streamlined analysis and better coverage of important examples and applications. A powerful method for the study of elliptic boundary value problems, capable of further extensive development, is provided for advanced undergraduates or beginning graduate students, as well as mathematicians with an interest in functional analysis and partial differential equations.
Author: Kazuaki Taira
Publisher:
ISBN: 9781107367289
Category : Electronic books
Languages : en
Pages : 176
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Book Description
Provides a careful and accessible exposition of initial boundary value problems for semilinear differential equations.
Author: Kazuaki Taira
Publisher:
ISBN: 9783540549963
Category : Boundary value problems
Languages : en
Pages : 132
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Book Description
Author: Kazuaki Taira
Publisher: Springer
ISBN: 3662436965
Category : Mathematics
Languages : en
Pages : 724
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Book Description
A careful and accessible exposition of functional analytic methods in stochastic analysis is provided in this book. It focuses on the interrelationship between three subjects in analysis: Markov processes, semi groups and elliptic boundary value problems. The author studies a general class of elliptic boundary value problems for second-order, Waldenfels integro-differential operators in partial differential equations and proves that this class of elliptic boundary value problems provides a general class of Feller semigroups in functional analysis. As an application, the author constructs a general class of Markov processes in probability in which a Markovian particle moves both by jumps and continuously in the state space until it 'dies' at the time when it reaches the set where the particle is definitely absorbed. Augmenting the 1st edition published in 2004, this edition includes four new chapters and eight re-worked and expanded chapters. It is amply illustrated and all chapters are rounded off with Notes and Comments where bibliographical references are primarily discussed. Thanks to the kind feedback from many readers, some errors in the first edition have been corrected. In order to keep the book up-to-date, new references have been added to the bibliography. Researchers and graduate students interested in PDEs, functional analysis and probability will find this volume useful.
Author: Jan-Hendrik Evertse
Publisher: Cambridge University Press
ISBN: 1009005855
Category : Mathematics
Languages : en
Pages : 241
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Book Description
Provides exceptional coverage of effective solutions for Diophantine equations over finitely generated domains.
Author: Ashish K. Srivastava
Publisher: Cambridge University Press
ISBN: 1108960162
Category : Mathematics
Languages : en
Pages : 235
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Book Description
The theory of invariance of modules under automorphisms of their envelopes and covers has opened up a whole new direction in the study of module theory. It offers a new perspective on generalizations of injective, pure-injective and flat-cotorsion modules beyond relaxing conditions on liftings of homomorphisms. This has set off a flurry of work in the area, with hundreds of papers using the theory appearing in the last decade. This book gives the first unified treatment of the topic. The authors are real experts in the area, having played a major part in the breakthrough of this new theory and its subsequent applications. The first chapter introduces the basics of ring and module theory needed for the following sections, making it self-contained and suitable for graduate students. The authors go on to develop and explain their tools, enabling researchers to employ them, extend and simplify known results in the literature and to solve longstanding problems in module theory, many of which are discussed at the end of the book.
Author: Julia Mueller
Publisher: Cambridge University Press
ISBN: 1108619959
Category : Mathematics
Languages : en
Pages : 452
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Book Description
Robert Langlands formulated his celebrated conjectures, initiating the Langlands Program, at the age of 31, profoundly changing the landscape of mathematics. Langlands, recipient of the Abel Prize, is famous for his insight in discovering links among seemingly dissimilar objects, leading to astounding results. This book is uniquely designed to serve a wide range of mathematicians and advanced students, showcasing Langlands' unique creativity and guiding readers through the areas of Langlands' work that are generally regarded as technical and difficult to penetrate. Part 1 features non-technical personal reflections, including Langlands' own words describing how and why he was led to formulate his conjectures. Part 2 includes survey articles of Langlands' early work that led to his conjectures, and centers on his principle of functoriality and foundational work on the Eisenstein series, and is accessible to mathematicians from other fields. Part 3 describes some of Langlands' contributions to mathematical physics.
Author: Howard S. Cohl
Publisher: Cambridge University Press
ISBN: 1108905420
Category : Mathematics
Languages : en
Pages : 352
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Book Description
Written by experts in their respective fields, this collection of pedagogic surveys provides detailed insight and background into five separate areas at the forefront of modern research in orthogonal polynomials and special functions at a level suited to graduate students. A broad range of topics are introduced including exceptional orthogonal polynomials, q-series, applications of spectral theory to special functions, elliptic hypergeometric functions, and combinatorics of orthogonal polynomials. Exercises, examples and some open problems are provided. The volume is derived from lectures presented at the OPSF-S6 Summer School at the University of Maryland, and has been carefully edited to provide a coherent and consistent entry point for graduate students and newcomers.
Author: Owen Dearricott
Publisher: Cambridge University Press
ISBN: 1108812813
Category : Mathematics
Languages : en
Pages : 401
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Book Description
From Ricci flow to GIT, physics to curvature bounds, Sasaki geometry to almost formality. This is differential geometry at large.
Author: Paolo Aluffi
Publisher: Cambridge University Press
ISBN: 1108792502
Category : Mathematics
Languages : en
Pages : 417
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Book Description
Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
