This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students. Series: London Mathematical Society Lecture Note Series. Num Pages: 348 pages, 40 b/w illus. BIC Classification: PBK. Category: (U) Tertiary Education (US: College). Dimension: 156 x 230 x 21. Weight in Grams: 514. . 2016. 2nd Edition. Paperback. . . . .

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Bibliographic Details

Title: London Mathematical Society Lecture Note Series: Series Number 434: Analytic Semigroups and Semilinear Initial Boundary Value Problems
Publisher: Cambridge University Press
Publication Date: 2016
Language: English
ISBN 10: 1316620867
ISBN 13: 9781316620861
Binding: Soft cover
Edition: 2nd Edition
Condition: New

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Synopsis

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.

About the Author

Kazuaki Taira is a part-time professor at Waseda University, Japan. He previously worked as a professor of mathematics at Hiroshima University from 1995 until 1998 and at the University of Tsukuba from 1998 until 2009. Taira has authored many books, the most recent being the second edition of Semigroups, Boundary Value Problems and Markov Processes (2014).

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