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Analytic semigroups and semilinear initial boundary value problems /

This book provides a careful and accessible exposition of the function analytic approach to initial boundary value problems for semilinear parabolic differential equations. It focuses on the relationship between two interrelated subjects in analysis: analytic semigroups and initial boundary value pr...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Taira, Kazuaki
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 1995.
Colección:London Mathematical Society lecture note series ; 223.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Analytic semigroups and semilinear initial boundary value problems /  |c Kazuaki Taira. 
260 |a Cambridge ;  |a New York :  |b Cambridge University Press,  |c 1995. 
300 |a 1 online resource (x, 164 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a London Mathematical Society lecture note series ;  |v 223 
504 |a Includes bibliographical references (pages 159-160) and index. 
505 0 |a Ch. I. Theory of Analytic Semigroups -- Ch. II. Sobolev Imbedding Theorems -- Ch. III. L[superscript p] Theory of Pseudo-Differential Operators -- Ch. IV. L[superscript p] Approach to Elliptic Boundary Value Problems -- Ch. V. Proof of Theorem 1 -- Ch. VI. Proof of Theorem 2 -- Ch. VII. Proof of Theorems 3 and 4 -- Appendix: The Maximum Principle. 
588 0 |a Print version record. 
520 |a This book provides a careful and accessible exposition of the function analytic approach to initial boundary value problems for semilinear parabolic differential equations. It focuses on the relationship between two interrelated subjects in analysis: analytic semigroups and initial boundary value problems. This semigroup approach can be traced back to the pioneering work of Fujita and Kato on the Navier-Stokes equation. The author studies non homogeneous boundary value problems for second order elliptic differential operators, in the framework of Sobolev spaces of Lp style, which include as particular cases the Dirichlet and Neumann problems, and proves that these boundary value problems provide an example of analytic semigroups in Lp. This book will be a necessary purchase for researchers with an interest in analytic semigroups or initial value problems. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Differential equations, Parabolic. 
650 0 |a Boundary value problems. 
650 0 |a Semigroups. 
650 6 |a Équations différentielles paraboliques. 
650 6 |a Problèmes aux limites. 
650 6 |a Semi-groupes. 
650 7 |a MATHEMATICS  |x Differential Equations  |x Partial.  |2 bisacsh 
650 7 |a Boundary value problems.  |2 fast  |0 (OCoLC)fst00837122 
650 7 |a Differential equations, Parabolic.  |2 fast  |0 (OCoLC)fst00893480 
650 7 |a Semigroups.  |2 fast  |0 (OCoLC)fst01112267 
650 7 |a Analytische Halbgruppe  |2 gnd 
650 7 |a Semilineare parabolische Differentialgleichung  |2 gnd 
650 7 |a Anfangswertproblem  |2 gnd 
650 1 7 |a Parabolische differentiaalvergelijkingen.  |2 gtt 
650 1 7 |a Randwaardeproblemen.  |2 gtt 
650 1 7 |a Semigroepen.  |2 gtt 
650 7 |a Operadores.  |2 larpcal 
650 7 |a Semigrupos.  |2 larpcal 
650 7 |a Problemas de contorno.  |2 larpcal 
650 7 |a Equações diferenciais parciais parabólicas.  |2 larpcal 
650 7 |a Equations différentielles paraboliques.  |2 ram 
650 7 |a Problèmes aux limites.  |2 ram 
650 7 |a Semigroupes.  |2 ram 
776 0 8 |i Print version:  |a Taira, Kazuaki.  |t Analytic semigroups and semilinear initial boundary value problems.  |d Cambridge ; New York : Cambridge University Press, 1995  |z 0521556031  |w (DLC) 95023953  |w (OCoLC)32702834 
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