The Cauchy Problem

AvHector O. Fattorini,Adalbert Kerber

Häftad, Engelska, 2009

Del 18 i serien Encyclopedia of Mathematics and its Applications

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2009-01-11
Mått:156 x 234 x 36 mm
Vikt:920 g
Format:Häftad
Språk:Engelska
Serie:Encyclopedia of Mathematics and its Applications
Antal sidor:668
Förlag:Cambridge University Press
ISBN:9780521096867

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

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.

Recensioner i media

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

Innehållsförteckning

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.