Analytic Semigroups and Semilinear Initial Boundary Value Problems

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Differential Equations
Cover of the book Analytic Semigroups and Semilinear Initial Boundary Value Problems by Kazuaki Taira, Cambridge University Press
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Author: Kazuaki Taira ISBN: 9781316756997
Publisher: Cambridge University Press Publication: April 28, 2016
Imprint: Cambridge University Press Language: English
Author: Kazuaki Taira
ISBN: 9781316756997
Publisher: Cambridge University Press
Publication: April 28, 2016
Imprint: Cambridge University Press
Language: English

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.

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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.

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