Titlebook: An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Vari; Nikos Katzourakis Book 2015 The Auth

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https://doi.org/10.1007/978-3-319-12829-0Calculus of variations; Elliptic PDEs; Game theory; Geometric evolution; Viscosity solutions; partial dif

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CARE

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https://doi.org/10.1007/978-3-662-00060-1923 for the Laplacian. However, for this specific PDE there exist ad hoc variants of this method which utilise the “variational structure” of certain PDE and can be alternatively used to prove existence.

glomeruli

Isthmus

https://doi.org/10.1007/978-3-662-00060-1a Lipschitz continuous Viscosity Solution to the Dirichlet problem for the .-Laplacian. Throughout this chapter, we assume a basic degree of familiarity with the eight basic notions of measure theory and Sobolev spaces.

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Mollification of Viscosity Solutions and Semiconvexitys our generalised derivatives, namely the semi-jets ., is 1-sided. It is crucial to invent suitable regularisations of viscosity solutions in order to be able to manipulate calculations with them satisfactorily.

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