An Introduction To Viscosity Solutions For Fully Nonlinear Pde With Applications To Calculus Of Variations In La by Nikos KatzourakisAn Introduction To Viscosity Solutions For Fully Nonlinear Pde With Applications To Calculus Of Variations In La by Nikos Katzourakis

An Introduction To Viscosity Solutions For Fully Nonlinear Pde With Applications To Calculus Of…

byNikos Katzourakis

Paperback | December 10, 2014

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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.
Title:An Introduction To Viscosity Solutions For Fully Nonlinear Pde With Applications To Calculus Of…Format:PaperbackDimensions:123 pagesPublished:December 10, 2014Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319128280

ISBN - 13:9783319128283

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