| Description |
1 online resource (xvi, 331 pages) : illustrations |
| Series |
London Mathematical Society Lecture Note Series ; 434 |
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London Mathematical Society lecture note series ; 434.
|
| Contents |
Introduction and Main Results -- Preliminaries from Functional Analysis -- Theory of Analytic Semigroups -- Sobolev Imbedding Theorems -- LpTheory of Pseudo-Differential Operators -- Lp Approach to Elliptic Boundary Value Problems -- Proof of Theorem 1.1 -- Proof of Theorem 1.2 -- Proof of Theorems 1.3 and 1.4 |
| 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 |
| Notes |
Title from publisher's bibliographic system (viewed on 12 Apr 2016) |
| Bibliography |
Includes bibliographical references (pages 322-325) and index |
| Notes |
Print version record |
| Subject |
Differential equations, Parabolic.
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Boundary value problems.
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Semigroups.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Ecuaciones diferenciales
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Análisis matemático
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Boundary value problems
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Differential equations, Parabolic
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Semigroups
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| Form |
Electronic book
|
| ISBN |
9781316729755 |
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1316729753 |
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9781316758434 |
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1316758435 |
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