Analytic Semigroups and Semilinear Initial Boundary Value Problems (London Mathematical Society Lecture Note Series, Series Number 223) - Softcover

Taira, Kazuaki

Softcover

ISBN 10: 0521556031 ISBN 13: 9780521556033

Publisher: Cambridge University Press, 1995

Synopsis

This careful and accessible text 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 nonhomogeneous 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.

About this title

Book Description

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1995
• ISBN 10: 0521556031
• ISBN 13: 9780521556033
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 176