Analytic Semigroups And Semilinear Initial Boundary Value Problems

Author : Kazuaki Taira
Publisher : Cambridge University Press
ISBN 13 : 0521556031
Total Pages : 178 pages
Book Rating : 4.33/5 ( download)

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Download or read book Analytic Semigroups and Semilinear Initial Boundary Value Problems written by Kazuaki Taira and published by Cambridge University Press. This book was released on 1995-10-19 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a careful and accessible exposition of the function analytic approach to initial boundary value problems for semilinear parabolic differential equations. It focuses on the relationship between two interrelated subjects in analysis: analytic semigroups and initial boundary value problems.

Author : Kazuaki Taira
Publisher : Cambridge University Press
ISBN 13 : 1316757358
Total Pages : 348 pages
Book Rating : 4.52/5 ( download)

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Download or read book Analytic Semigroups and Semilinear Initial Boundary Value Problems written by Kazuaki Taira and published by Cambridge University Press. This book was released on 2016-04-28 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 : 1316620867
Total Pages : 348 pages
Book Rating : 4.61/5 ( download)

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Download or read book Analytic Semigroups and Semilinear Initial Boundary Value Problems written by Kazuaki Taira and published by Cambridge University Press. This book was released on 2016-04-28 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.

Author : Kazuaki Taira
Publisher :
ISBN 13 : 9783540549963
Total Pages : 132 pages
Book Rating : 4.6X/5 ( download)

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Download or read book Boundary Value Problems and Markov Processes written by Kazuaki Taira and published by . This book was released on 1991 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Kazuaki Taira
Publisher : Springer
ISBN 13 : 3662436965
Total Pages : 724 pages
Book Rating : 4.67/5 ( download)

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Download or read book Semigroups, Boundary Value Problems and Markov Processes written by Kazuaki Taira and published by Springer. This book was released on 2014-08-07 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Kazuaki Taira
Publisher : Springer
ISBN 13 : 3642016774
Total Pages : 196 pages
Book Rating : 4.76/5 ( download)

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Download or read book Boundary Value Problems and Markov Processes written by Kazuaki Taira and published by Springer. This book was released on 2009-06-17 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thorough and accessible exposition on the functional analytic approach to the problem of construction of Markov processes with Ventcel’ boundary conditions in probability theory. It presents new developments in the theory of singular integrals.

Author : Kazuaki Taira
Publisher : Springer Nature
ISBN 13 : 9811910995
Total Pages : 792 pages
Book Rating : 4.99/5 ( download)

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Download or read book Functional Analytic Techniques for Diffusion Processes written by Kazuaki Taira and published by Springer Nature. This book was released on 2022-05-28 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an easy-to-read reference providing a link between functional analysis and diffusion processes. More precisely, the book takes readers to a mathematical crossroads of functional analysis (macroscopic approach), partial differential equations (mesoscopic approach), and probability (microscopic approach) via the mathematics needed for the hard parts of diffusion processes. This work brings these three fields of analysis together and provides a profound stochastic insight (microscopic approach) into the study of elliptic boundary value problems. The author does a massive study of diffusion processes from a broad perspective and explains mathematical matters in a more easily readable way than one usually would find. The book is amply illustrated; 14 tables and 141 figures are provided with appropriate captions in such a fashion that readers can easily understand powerful techniques of functional analysis for the study of diffusion processes in probability. The scope of the author’s work has been and continues to be powerful methods of functional analysis for future research of elliptic boundary value problems and Markov processes via semigroups. A broad spectrum of readers can appreciate easily and effectively the stochastic intuition that this book conveys. Furthermore, the book will serve as a sound basis both for researchers and for graduate students in pure and applied mathematics who are interested in a modern version of the classical potential theory and Markov processes. For advanced undergraduates working in functional analysis, partial differential equations, and probability, it provides an effective opening to these three interrelated fields of analysis. Beginning graduate students and mathematicians in the field looking for a coherent overview will find the book to be a helpful beginning. This work will be a major influence in a very broad field of study for a long time.

Author : Dan Henry
Publisher : Cambridge University Press
ISBN 13 : 9781139441179
Total Pages : 220 pages
Book Rating : 4.75/5 ( download)

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Download or read book Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations written by Dan Henry and published by Cambridge University Press. This book was released on 2005-05-26 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbation of the boundary is a rather neglected topic in the study of partial differential equations, in part because it often entails long and difficult caluclations. In this book, first published in 2005, the author carefully discusses a calculus that overcomes the computational morass, and he goes on to develop more general forms of standard theorems, helping to answer a problems involving boundary perturbations.

Author : Matthias Keller
Publisher : Cambridge University Press
ISBN 13 : 1108587380
Total Pages : 493 pages
Book Rating : 4.89/5 ( download)

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Download or read book Analysis and Geometry on Graphs and Manifolds written by Matthias Keller and published by Cambridge University Press. This book was released on 2020-08-20 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the interplay between several rapidly expanding areas of mathematics. Suitable for graduate students as well as researchers, it provides surveys of topics linking geometry, spectral theory and stochastics.

Author : Thomas Haines
Publisher : Cambridge University Press
ISBN 13 : 1108704867
Total Pages : 341 pages
Book Rating : 4.61/5 ( download)

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Download or read book Shimura Varieties written by Thomas Haines and published by Cambridge University Press. This book was released on 2020-02-20 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume forms the sequel to "On the stabilization of the trace formula", published by International Press of Boston, Inc., 2011