Téléchargez le livre : An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L8

An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L8



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Éditeur :

Springer


Collection :

SpringerBriefs in Mathematics

Paru le : 2014-11-26



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Description
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.
Pages
123 pages
Collection
SpringerBriefs in Mathematics
Parution
2014-11-26
Marque
Springer
EAN papier
9783319128283
EAN EPUB
9783319128290
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
12
Taille du fichier
2181 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
68,56 €

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