×

Applied functional analysis and partial differential equations. (English) Zbl 0913.35002

Singapore: World Scientific. x, 294 p. (1998).
The first two chapters of the book deal with linear operators in Banach and Hilbert spaces, chapter 3 deals with Sobolev spaces. Chapters 4, 5 and 6 give a clean introduction to the semigroups of linear operators and their applications to partial differential equations. The weakly nonlinear and the semilinear parabolic cases are also studied, and applications are given. The book is very readily written and we can recommend it for a graduate course in semigroup theory.

MSC:

35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations
47D06 One-parameter semigroups and linear evolution equations
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
35K55 Nonlinear parabolic equations
PDFBibTeX XMLCite