# The Cauchy Problem: 18 (Encyclopedia of Mathematics and its Applications)

Cambridge University Press, 2/14/1985

EAN 9780521302388, ISBN10: 0521302382

Hardcover, 668 pages, 22.8 x 15.2 x 3.5 cm

Language: English

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, SchrÃƒÂ¶dinger 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.