From the Theory of Viscosity Solutions

Lindqvist, Peter

doi:10.1007/978-3-319-31532-4_7

From the Theory of Viscosity Solutions

Peter Lindqvist¹³

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First Online: 16 April 2016

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Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

Abstract

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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Notes

1.
As a mnemonic rule, subjets touch from below and are therefore used for testing supersolutions.

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Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway
Peter Lindqvist

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Peter Lindqvist
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Correspondence to Peter Lindqvist .

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Lindqvist, P. (2016). From the Theory of Viscosity Solutions. In: Notes on the Infinity Laplace Equation. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-31532-4_7

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DOI: https://doi.org/10.1007/978-3-319-31532-4_7
Published: 16 April 2016
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-31531-7
Online ISBN: 978-3-319-31532-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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