The Cauchy Problem

This book deals with the Cauchy or initial value problem for linear differential equations.

Hector O. Fattorini (Author), Adalbert Kerber (Author)

9780521096867, Cambridge University Press

Paperback / softback, published 11 January 2009

668 pages
23.4 x 15.6 x 3.6 cm, 0.92 kg

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

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.

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.

Subject Areas: Differential calculus & equations [PBKJ], Calculus & mathematical analysis [PBK]