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The Cauchy Problem : Encyclopedia of Mathematics and Its Applications - Hector O. Fattorini

The Cauchy Problem

Encyclopedia of Mathematics and Its Applications

Hardcover Published: 28th December 1984
ISBN: 9780521302388
Number Of Pages: 668

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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, Schrodinger, 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.

From the hardback review: '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

EditorG++s statement
Foreword
Preface
Elements of functional analysis
The caucy problem for some equations of mathematical physics: the abstract cauchy problem
Properly posed cauchy problems: general theory
Dissipative operators and applications
Abstract parabolic equations: applications to second order parabolic equations
Perturbation and approximation of abstract differential equations
Some improperly posed cauchy problems
The abstract cauchy problem for time-dependent equations
The cauchy problem in the sense of vector-valued distributions
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521302388
ISBN-10: 0521302382
Series: Encyclopedia of Mathematics and Its Applications : Book 18
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 668
Published: 28th December 1984
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 3.7
Weight (kg): 1.11