An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L (Paperback, 2015 ed.)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	SpringerBriefs in Mathematics
Release date:	December 2014
First published:	2015
Authors:	Nikos Katzourakis
Dimensions:	235 x 155 x 7mm (L x W x T)
Format:	Paperback
Pages:	123
Edition:	2015 ed.
ISBN-13:	978-3-319-12828-3
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
LSN:	3-319-12828-0
Barcode:	9783319128283

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