Weak Convergence Methods for Nonlinear Partial Differential Equations

Evans, Lawrence C.

ISBN 10: 0821807242 / ISBN 13: 9780821807248

Edité par American Mathematical Society, 1990

N° de réf. du vendeur 6019584-n

Synopsis :

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.

Détails bibliographiques

Titre : Weak Convergence Methods for Nonlinear ...
Éditeur : American Mathematical Society
Date d'édition : 1990
Reliure : Couverture souple
Etat : New