An introduction to viscosity solutions for fully nonlinear PDE with applications to calculus of variations in L∞ /

An introduction to viscosity solutions for fully nonlinear PDE with applications to calculus of variations in L∞ /

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Bibliographic Details
Author / Creator:Katzourakis, Nikos, author.
Imprint:Cham : Springer, 2015.
Description:1 online resource (xii, 123 pages) : illustrations (some color).
Language:English
Series:SpringerBriefs in Mathematics, 2191-8198
SpringerBriefs in mathematics.
Subject:
Differential equations, Partial.
Differential equations, Nonlinear.
Calculus of variations.
Calculus of variations.
Differential equations, Nonlinear.
Differential equations, Partial.
Mathematics.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11090159
Hidden Bibliographic Details
ISBN:9783319128290
3319128299
9783319128283
3319128280
Digital file characteristics:text file PDF
Notes:Includes bibliographical references.
Online resource; title from PDF title page (SpringerLink, viewed February 3, 2015).
Summary: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.
Other form:Original 3319128280 9783319128283
Standard no.:10.1007/978-3-319-12829-0

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