Analytic semigroups and semilinear initial boundary value problems /

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Bibliographic Details
Author / Creator:Taira, Kazuaki, author.
Edition:Second edition.
Imprint:Cambridge, United Kingdom : Cambridge University Press, 2016.
Description:xvi, 331 pages : illustrations ; 23 cm.
Series:London Mathematical Society lecture note series ; 434
London Mathematical Society lecture note series ; 434.
Subject:Differential equations, Parabolic.
Boundary value problems.
Boundary value problems.
Differential equations, Parabolic.
Format: Print Book
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Notes:Includes bibliographical references (pages 322-325) and index.
Summary: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.