Weak Convergence Methods for Nonlinear Partial Differential Equations - Brossura

Evans, Lawrence C.

 
9780821807248: Weak Convergence Methods for Nonlinear Partial Differential Equations
Brossura
ISBN 10: 0821807242 ISBN 13: 9780821807248
Casa editrice: Amer Mathematical Society, 1990

Sinossi

The author surveys a wide collection of techniques for showing the existence of solutions to various nonlinear partial differential equations, especially when strong analytic estimates are unavailable. The overall guiding viewpoint is that when a sequence of approximate solutions converges only weakly, one must exploit the nonlinear structure of the PDE to justify passing to limits. The author concentrates on several areas that are rapidly developing and points to some underlying viewpoints common to them all. Among the several themes in the book are the primary role of measure theory and real analysis (as opposed to functional analysis) and the continual use in diverse settings of low-amplitude, high-frequency periodic test functions to extract useful information. The author uses the simplest problems possible to illustrate various key techniques. Aimed at research mathematicians in the field of nonlinear PDEs, this book should prove an important resource for understanding the techniques being used in this important area of research.

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Editore
Amer Mathematical Society
Data di pubblicazione
1990
Lingua
Inglese
ISBN 10 
0821807242
ISBN 13 
9780821807248
Rilegatura
Copertina flessibile
Numero di pagine
82
Contatto del produttore
non disponibile
Persona responsabile
non disponibile