The Theory of Partial Differential Equations
Cambridge University Press
Edition: New Ed, 3/9/2009
EAN 9780521297462, ISBN10: 052129746X
Paperback, 504 pages, 22.9 x 15.2 x 2.8 cm
Language: English
The basis of this graduate-level textbook is a careful survey of a wide range of problems affecting the solution of linear partial differential equations. The book begins with a fairly elementary introduction to the theory of Fourier series of continuous functions and goes on to describe the fundamental theory of linear partial differential equations of elliptic and hyperbolic types, equations of evolution, semi-linear hyperbolic equations and selected topics on Green's functions and spectra of some special operators. The book is intended for use by pure mathematicians in functional analysis. The selection of material is interesting and differs from existing literature in European languages. This paperback edition will make it particularly attractive to graduate students in pure and applied mathematics.
Preface
1. Fourier series and Fourier transforms
2. Distributions
3. Elliptic equations (fundamental theory)
4. Initial value problems (Cauchy problems)
5. Evolution equations
6. Hyperbolic equations
7. Semi-linear hyperbolic equations
8. Green's functions and spectra
Supplementary remarks
Guide to the literature
Bibliography
Symbols
Index.