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|a 9783319128290
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|a 10.1007/978-3-319-12829-0
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|a Katzourakis, Nikos.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞
|h [electronic resource] /
|c by Nikos Katzourakis.
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| 250 |
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|a 1st ed. 2015.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2015.
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| 300 |
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|a XII, 123 p. 25 illus., 1 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|a online resource
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|a text file
|b PDF
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|a SpringerBriefs in Mathematics,
|x 2191-8198
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|a 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.
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|a Partial differential equations.
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|a Calculus of variations.
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|a Partial Differential Equations.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M12155
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|a Calculus of Variations and Optimal Control; Optimization.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M26016
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783319128306
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|i Printed edition:
|z 9783319128283
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|a SpringerBriefs in Mathematics,
|x 2191-8198
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|u https://doi.org/10.1007/978-3-319-12829-0
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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