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Author : Kazuaki Taira
Publisher : Unknown
Page : 176 pages
File Size : 51,6 Mb
Release : 1995
Category : Electronic books
ISBN : 110736728X
Provides a careful and accessible exposition of initial boundary value problems for semilinear differential equations.
Author : Kazuaki Taira
Publisher : Cambridge University Press
Page : 348 pages
File Size : 52,8 Mb
Release : 2016-04-28
Category : Mathematics
ISBN : 9781316757352
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
Page : 348 pages
File Size : 43,7 Mb
Release : 2016-04-28
Category : Mathematics
ISBN : 9781316620861
This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.
Author : Kazuaki Taira
Publisher : Unknown
Page : 132 pages
File Size : 45,7 Mb
Release : 1991
Category : Boundary value problems
ISBN : 354054996X
Author : Kazuaki Taira
Publisher : Springer
Page : 192 pages
File Size : 47,8 Mb
Release : 2009-06-17
Category : Mathematics
ISBN : 9783642016776
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
Page : 716 pages
File Size : 44,6 Mb
Release : 2014-08-07
Category : Mathematics
ISBN : 9783662436967
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 Nature
Page : 792 pages
File Size : 48,6 Mb
Release : 2022-05-28
Category : Mathematics
ISBN : 9789811910999
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
Page : 217 pages
File Size : 43,7 Mb
Release : 2005-05-26
Category : Mathematics
ISBN : 9780521574914
This book, first published in 2005, works to answer a wide range of problems involving boundary perturbations in the study of partial differential equations.
Author : Francesco Altomare,Mirella Cappelletti,Vita Leonessa,Ioan Rasa
Publisher : Walter de Gruyter GmbH & Co KG
Page : 325 pages
File Size : 48,7 Mb
Release : 2014-12-17
Category : Mathematics
ISBN : 9783110366976
This research monograph gives a detailed account of a theory which is mainly concerned with certain classes of degenerate differential operators, Markov semigroups and approximation processes. These mathematical objects are generated by arbitrary Markov operators acting on spaces of continuous functions defined on compact convex sets; the study of the interrelations between them constitutes one of the distinguishing features of the book. Among other things, this theory provides useful tools for studying large classes of initial-boundary value evolution problems, the main aim being to obtain a constructive approximation to the associated positive C0-semigroups by means of iterates of suitable positive approximating operators. As a consequence, a qualitative analysis of the solutions to the evolution problems can be efficiently developed. The book is mainly addressed to research mathematicians interested in modern approximation theory by positive linear operators and/or in the theory of positive C0-semigroups of operators and evolution equations. It could also serve as a textbook for a graduate level course.
Author : Matthias Keller,Daniel Lenz,Radoslaw K. Wojciechowski
Publisher : Cambridge University Press
Page : 493 pages
File Size : 49,8 Mb
Release : 2020-08-20
Category : Mathematics
ISBN : 9781108713184
A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.
Author : G Lumer
Publisher : CRC Press
Page : 534 pages
File Size : 41,7 Mb
Release : 2019-04-24
Category : Medical
ISBN : 9780429530098
This volume presents a collection of lectures on linear partial differntial equations and semigroups, nonlinear equations, stochastic evolutionary processes, and evolution problems from physics, engineering and mathematical biology. The contributions come from the 6th International Conference on Evolution Equations and Their Applications in Physica
Author : Thomas Haines,Michael Harris
Publisher : Cambridge University Press
Page : 341 pages
File Size : 50,5 Mb
Release : 2020-02-20
Category : Mathematics
ISBN : 9781108704861
This volume forms the sequel to "On the stabilization of the trace formula", published by International Press of Boston, Inc., 2011
Author : Mark Pankov
Publisher : Cambridge University Press
Page : 154 pages
File Size : 45,8 Mb
Release : 2020-01-16
Category : Mathematics
ISBN : 9781108790918
An accessible introduction to the geometric approach to Wigner's theorem and its role in quantum mechanics.
Author : Mark Hagen,Richard Webb,Henry Wilton
Publisher : Cambridge University Press
Page : 242 pages
File Size : 48,6 Mb
Release : 2019-07-11
Category : Mathematics
ISBN : 9781108447294
Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov hyperbolicity.
Author : Jan-Hendrik Evertse,Kálmán Győry
Publisher : Cambridge University Press
Page : 241 pages
File Size : 43,5 Mb
Release : 2022-04-28
Category : Mathematics
ISBN : 9781009005852
Provides exceptional coverage of effective solutions for Diophantine equations over finitely generated domains.