Analytic semigroups and semilinear initial boundary value problems /

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Bibliographic Details
Author / Creator:Taira, Kazuaki.
平良, 和昭.
Imprint:Cambridge ; New York : Cambridge University Press, 1995.
Description:1 online resource (x, 164 pages) : illustrations.
Language:English
Series:London Mathematical Society lecture note series ; 223
London Mathematical Society lecture note series ; 223.
Subject:Differential equations, Parabolic.
Boundary value problems.
Semigroups.
MATHEMATICS -- Differential Equations -- Partial.
Boundary value problems.
Differential equations, Parabolic.
Semigroups.
Parabolische differentiaalvergelijkingen.
Randwaardeproblemen.
Semigroepen.
Operadores.
Semigrupos.
Problemas de contorno.
Equações diferenciais parciais parabólicas.
Equations différentielles paraboliques.
Problèmes aux limites.
Semigroupes.
Analytische Halbgruppe
Semilineare parabolische Differentialgleichung
Anfangswertproblem
Electronic books.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11181064
Hidden Bibliographic Details
ISBN:9781107362376
1107362377
9780511662362
051166236X
0521550031
0521556031
9780521556033
Notes:Includes bibliographical references (pages 159-160) and index.
Print version record.
Summary: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.
Other form:Print version: Taira, Kazuaki. Analytic semigroups and semilinear initial boundary value problems. Cambridge ; New York : Cambridge University Press, 1995 0521556031