By Nikos Katzourakis

ISBN-10: 3319128280

ISBN-13: 9783319128283

the aim of this publication is to provide a brief and effortless, but rigorous, presentation of the rudiments of the so-called concept of Viscosity strategies which applies to completely nonlinear 1st and 2d order Partial Differential Equations (PDE). For such equations, relatively for 2d order ones, strategies normally are non-smooth and conventional ways with a view to outline a "weak answer" don't practice: classical, robust nearly in all places, susceptible, measure-valued and distributional recommendations both don't exist or would possibly not also be outlined. the most explanation for the latter failure is that, the normal inspiration of utilizing "integration-by-parts" in an effort to cross derivatives to gentle attempt features through duality, isn't really on hand 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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