Springer Monographs in Mathematics

Semigroups, Boundary Value Problems and Markov Processes

Authors: Taira, Kazuaki

  • Includes four new chapters and eight re-worked and expanded chapters
  • Notes and comments where bibliographical references are discussed, are inserted in all chapters
  • New references have been added to the bibliography
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About this book

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.

About the authors

Professor Kazuaki TAIRA, born in Tokyo, Japan in 1946, served for many years as a Professor of Mathematics at the University of Tsukuba (1998-2009). He received his Bachelor of Science in 1969 from the University of Tokyo, Japan and his Master of Science in 1972 from Tokyo Institute of Technology, Japan, where he served as an assistant from 1972 to 1978. The Doctor of Science degree was awarded to him in 1976 by the University of Tokyo and in 1978 the Doctorat d'Etat degree was given to him by Universite de Paris-Sud, France. He held a French government scholarship from 1976 to 1978.

He has also served as a member of the Institute for Advanced Study, USA (1980-1981), as an Associate Professor at the University of Tsukuba (1981-1995) and as a Professor at Hiroshima University, Japan (1995-1998). In 1998, he accepted an invitation from the University of Tsukuba to teach there again as a Professor. Since 2009, he has also been a part-time Professor at Waseda University. His current research interests are in the study of three interrelated subjects in analysis: semi groups, elliptic boundary value problems and Markov processes.

Table of contents (13 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-662-43696-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-3-662-43695-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-3-662-51759-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Semigroups, Boundary Value Problems and Markov Processes
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-43696-7
DOI
10.1007/978-3-662-43696-7
Hardcover ISBN
978-3-662-43695-0
Softcover ISBN
978-3-662-51759-8
Series ISSN
1439-7382
Edition Number
2
Number of Pages
XIX, 716
Number of Illustrations and Tables
149 b/w illustrations
Topics