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The Cauchy Problem de Hector O. Fattorini

The Cauchy Problem: Encyclopedia of Mathematics and its Applications, cartea 18

Autor Hector O. Fattorini, Adalbert Kerber
en Limba Engleză Hardback – 27 dec 1984
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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Specificații

ISBN-13: 9780521302388
ISBN-10: 0521302382
Pagini: 668
Dimensiuni: 152 x 228 x 35 mm
Greutate: 1.1 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Encyclopedia of Mathematics and its Applications

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Recenzii

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

Notă biografică

Descriere

This book deals with the Cauchy or initial value problem for linear differential equations.