An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞ - Couverture souple

Livre 51 sur 155: SpringerBriefs in Mathematics

Katzourakis, Nikos

 
9783319128283: An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞
Couverture souple
ISBN 10 : 3319128280 ISBN 13 : 9783319128283
Editeur : Springer, 2014

Synopsis

The purpose of this book is to give a quick and elementary, yet rigorous, presentation of the rudiments of the so-called theory of Viscosity Solutions which applies to fully nonlinear 1st and 2nd order Partial Differential Equations (PDE). For such equations, particularly for 2nd order ones, solutions generally are non-smooth and standard approaches in order to define a "weak solution" do not apply: classical, strong almost everywhere, weak, measure-valued and distributional solutions either do not exist or may not even be defined. The main reason for the latter failure is that, the standard idea of using "integration-by-parts" in order to pass derivatives to smooth test functions by duality, is not available for non-divergence structure PDE.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2014
Langue
anglais
ISBN 10 
3319128280
ISBN 13 
9783319128283
Reliure
Broché
Nombre de pages
136
Coordonnées du fabricant
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