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Viac informácií o knihe Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L

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Anotácia knihy

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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Calculus & mathematical analysis

• Celý názov: Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L
• Autor: Nikos Katzourakis
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 123
• EAN: 9783319128283
• ISBN: 3319128280
• ID: 08021933
• Nakladateľ: Springer International Publishing AG
• Hmotnosť: 2175 g
• Rozmery: 235 × 155 × 7 mm
• Dátum vydania: 27. November 2014

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