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An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞ (SpringerBriefs in Mathematics) - Tapa blanda
Sinopsis
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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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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An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L? (SpringerBriefs in Mathematics)
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An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L¿
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Springer International Publishing Dez 2014, 2014
ISBN 10: 3319128280
ISBN 13: 9783319128283
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 136 pp. Englisch. Nº de ref. del artículo: 9783319128283
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An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L?
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Springer International Publishing AG, CH, 2014
ISBN 10: 3319128280
ISBN 13: 9783319128283
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Paperback. Condición: New. 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. Nº de ref. del artículo: LU-9783319128283
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An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L?
Publicado por
Springer International Publishing AG, CH, 2014
ISBN 10: 3319128280
ISBN 13: 9783319128283
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Paperback. Condición: New. 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. Nº de ref. del artículo: LU-9783319128283
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An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L8
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An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L8
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ISBN 10: 3319128280
ISBN 13: 9783319128283
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An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L8
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ISBN 10: 3319128280
ISBN 13: 9783319128283
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An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L¿
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ISBN 10: 3319128280
ISBN 13: 9783319128283
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9783319128283
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An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L? (SpringerBriefs in Mathematics)
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