Elementary Introduction to New Generalized Functions - Brossura

Colombeau, Jean Francois

Brossura

ISBN 10: 0444558098 ISBN 13: 9780444558091

Casa editrice: North Holland, 2012

Riassunto

The author's previous book 'New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced 'new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions. The aim here is to present these functions in a more direct and elementary way. In Part I, the reader is assumed to be familiar only with the concepts of open and compact subsets of R, of C functions of several real variables and with some rudiments of integration theory. Part II defines tempered generalized functions, i.e. generalized functions which are, in some sense, increasing at infinity no faster than a polynomial (as well as all their partial derivatives). Part III shows that, in this setting, the partial differential equations have new solutions. The results obtained show that this setting is perfectly adapted to the study of nonlinear partial differential equations, and indicate some new perspectives in this field.

Dettagli dell'edizione

• Editore: North Holland
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 0444558098
• ISBN 13: 9780444558091
• Rilegatura: Copertina flessibile
• Numero di pagine: 296
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile