The Cauchy Problem

by Hector O. Fattorini, Adalbert Kerber

Overview

This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schrödinger and Dirac equations. Background material presented in the first chapter makes the book accessible to mathematicians and physicists who are not specialists in this area as well as to graduate students.

Product Details

ISBN-13:	9780521302388
Publisher:	Cambridge University Press
Publication date:	12/28/1984
Series:	Encyclopedia of Mathematics and its Applications , #18
Pages:	668
Product dimensions:	5.98(w) x 8.98(h) x 1.38(d)

About the Author

Hector O. Fattorini graduated from the Licenciado en Matemática, Universidad de Buenos Aires in 1960 and gained a Ph.D. in Mathematics from the Courant Institute of Mathematical Sciences, New York University, in 1965. Since 1967, he has been a member of the Department of Mathematics at the University of California, Los Angeles.

Table of Contents

Editor's statement; Foreword; Preface; 1. Elements of functional analysis; 2. The caucy problem for some equations of mathematical physics: the abstract cauchy problem; 3. Properly posed cauchy problems: general theory; 4. Dissipative operators and applications; 5. Abstract parabolic equations: applications to second order parabolic equations; 6. Perturbation and approximation of abstract differential equations; 7. Some improperly posed cauchy problems; 8. The abstract cauchy problem for time-dependent equations; 9. The cauchy problem in the sense of vector-valued distributions; References; Index.

Editorial Reviews

Review of the hardback: '… very well conceived and organised with a good selection of material and an excellent combination of detail and perspective … It should serve well as the standard reference'. Bulletin of the London Mathematical Society

From the Publisher