The Cauchy Problem

Couverture
Cambridge University Press, 1983 - 636 pages
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.
 

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Table des matières

Chapter 0 Elements of Functional Analysis
1
The Abstract Cauchy Problem
26
General Theory
62
Chapter 3 Dissipative Operators and Applications
117
Applications to Second Order Parabolic Equations
172
Chapter 5 Perturbation and Approximation of Abstract Differential Equations
267
Chapter 6 Some Improperly Posed Cauchy Problems
346
Chapter 7 The Abstract Cauchy Problem for TimeDependent Equations
381
Chapter 8 The Cauchy Problem in the Sense of VectorValued Distributions
461
References
510
Index
627
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À propos de l'auteur (1983)

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.

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