EAN: 9783319128283

Bilder-Quelle: discount24.de - Sport-Freizeit

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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17.03.2025 um 20:07 Uhr

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