Download e-book for kindle: An Introduction To Viscosity Solutions for Fully Nonlinear by Nikos Katzourakis

By Nikos Katzourakis

ISBN-10: 3319128280

ISBN-13: 9783319128283

the aim of this e-book is to provide a brief and uncomplicated, but rigorous, presentation of the rudiments of the so-called conception of Viscosity suggestions which applies to totally nonlinear 1st and second order Partial Differential Equations (PDE). For such equations, rather for second order ones, options more often than not are non-smooth and conventional techniques which will outline a "weak answer" don't follow: classical, robust nearly all over, vulnerable, measure-valued and distributional strategies both don't exist or would possibly not also be outlined. the most cause of the latter failure is that, the traditional notion of utilizing "integration-by-parts" that allows you to go derivatives to soft try services through duality, isn't to be had for non-divergence constitution 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) by Nikos Katzourakis


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