Download PDF by Nikos Katzourakis: An Introduction To Viscosity Solutions for Fully Nonlinear

By Nikos Katzourakis

ISBN-10: 3319128280

ISBN-13: 9783319128283

the aim of this e-book is to provide a short and undemanding, but rigorous, presentation of the rudiments of the so-called conception of Viscosity recommendations which applies to totally nonlinear 1st and second order Partial Differential Equations (PDE). For such equations, relatively for 2d order ones, ideas normally are non-smooth and conventional ways so that it will outline a "weak resolution" don't observe: classical, powerful nearly all over the place, susceptible, measure-valued and distributional suggestions both don't exist or would possibly not also be outlined. the most reason behind the latter failure is that, the traditional suggestion of utilizing "integration-by-parts" with a view to move derivatives to delicate try services by way of duality, isn't really 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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