An edition of Semigroups, Boundary Value Problems and Markov Processes (2004)

Semigroups, Boundary Value Problems and Markov Processes

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Cover of: Semigroups, Boundary Value Problems and Markov Processes by Kazuaki Taira
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An edition of Semigroups, Boundary Value Problems and Markov Processes (2004)

Semigroups, Boundary Value Problems and Markov Processes

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The purpose of this book is to provide a careful and accessible account along modern lines of the subject which the title deals, as well as to discuss problems of current interest in the field. More precisely this book is devoted to the functional-analytic approach to a class of degenerate boundary value problems for second-order elliptic integro-differential operators which includes as particular cases the Dirichlet and Robin problems. This class of boundary value problems provides a new example of analytic semigroups. As an application, we construct a strong Markov process corresponding to such a diffusion phenomenon that 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.

Publish Date
Publisher
Springer Berlin Heidelberg
Language
English
Pages
340

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Previews available in: English

Subjects
Harmonic analysis, Mathematics, Differential equations, partial, Functional analysis, Distribution (Probability theory), Markov processes, Semigroups, Boundary value problems, Partial Differential equations, Abstract Harmonic Analysis, Probability Theory and Stochastic Processes

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Edition Availability
Cover of: Semigroups, Boundary Value Problems and Markov Processes
Semigroups, Boundary Value Problems and Markov Processes
Aug 23, 2016, Springer
paperback
Libraries near you: WorldCat
Cover of: Semigroups, Boundary Value Problems and Markov Processes
Semigroups, Boundary Value Problems and Markov Processes
Aug 08, 2014, Springer
hardcover
Libraries near you: WorldCat
Cover of: Semigroups, Boundary Value Problems and Markov Processes
Semigroups, Boundary Value Problems and Markov Processes
2014, Springer
in English
Libraries near you: WorldCat
Cover of: Semigroups, Boundary Value Problems and Markov Processes
Semigroups, Boundary Value Problems and Markov Processes
2004, Springer Berlin Heidelberg
electronic resource / in English
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Book Details

Table of Contents

Preface
Introduction and Main Results
Theory of Semigroups
Markov Processes and Semigroups
Theory of Distributions
Theory of Pseudo-Differential Operators
Appendix A Boundedness of Pseudo-Differential Operators
Elliptic Boundary Value Problems
Elliptic Boundary Value Problems and Feller Semigroups
Appendix B Unique Solvability of Pseudo-Differential Operators
Proof of Theorem 1
Proof of Theorem 2
A Priori Estimates
Proof of Theorem 3
Proof of Theorem 4, Part (i)
Proofs of Theorem 5 and Theorem 4, Part (ii)
Boundary Value Problems for Waldenfels Operators
Appendix C The Maximum Principle
Bibliography
Index of Symbols
Subject Index.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
Berlin, Heidelberg
Series
Springer Monographs in Mathematics, Springer Monographs in Mathematics

Classifications

Dewey Decimal Class
515.7
Library of Congress
QA319-329.9, QA1-939

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (xi, 340 p.)
Number of pages
340

ID Numbers

Open Library
OL27087098M
Internet Archive
semigroupsbounda00tair
ISBN 10
3642073719, 3662098571
ISBN 13
9783642073717, 9783662098578
OCLC/WorldCat
851393891

Source records

Internet Archive item record
Better World Books record
Better World Books record

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December 8, 2022 Edited by MARC Bot import existing book
October 5, 2021 Edited by ImportBot import existing book
July 7, 2019 Created by MARC Bot import new book