Titlebook: Notes on the Infinity Laplace Equation; Peter Lindqvist Book 2016 The Author(s) 2016 PDE.The infinity laplace operator.Viscosity solutions

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From the Theory of Viscosity Solutions,Convex and concave functions are important auxiliary tools. The main reason is that they have second derivatives of a kind based on the Taylor polynomial.

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Uniqueness of Viscosity Solutions,We shall present the uniqueness proof, originally due to Jensen, Arch Ration Mechan Anal 123:51–74, 1993 [J], for the Dirichlet problem in a bounded, but otherwise quite arbitrary domain.

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