The Cauchy Problem
1st Edition
Published on 4. April 2011
978-0-511-82666-5 (ISBN)
Description
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, Schroedinger 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.
Reviews / Votes
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 SocietyMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
College/higher education
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
67,97 MB
ISBN-13
978-0-511-82666-5 (9780511826665)
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Schweitzer Classification
Other editions
Additional editions
Hector O. Fattorini | Adalbert Kerber
The Cauchy Problem
Book
01/2009
Cambridge University Press
€144.20
Shipment within 15-20 days
Hector O. Fattorini | Adalbert Kerber
The Cauchy Problem
Book
12/1984
Cambridge University Press
€237.90
Shipment within 15-20 days
Persons
Hector O. Fattorini graduated from the Licenciado en Matematica, 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.
Content
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.
