Notes on the Infinity Laplace Equation

Häftad, Engelska, 2016

Del i serien SpringerBriefs in Mathematics

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Beskrivning

This BCAM SpringerBriefs is a treaty of the Infinity-Laplace Equation, which has inherited many features from the ordinary Laplace Equation, and is based on lectures by the author. The Infinity-Laplace Equation has delightful counterparts to the Dirichlet integral, the mean value property, the Brownian motion, Harnack's inequality, and so on. This "fully non-linear" equation has applications to image processing and to mass transfer problems, and it provides optimal Lipschitz extensions of boundary values.

Produktinformation

Utgivningsdatum:2016-04-26
Mått:155 x 235 x 5 mm
Vikt:137 g
Format:Häftad
Språk:Engelska
Serie:SpringerBriefs in Mathematics
Antal sidor:68
Upplaga:16001
Förlag:Springer International Publishing AG
ISBN:9783319315317

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Mer om författaren

Peter LindqvistProfessor of Mathematics Department of Mathematical Sciences Norwegian University of Science and Technology Trondheim, Norway Research interests: Analysis, in particular partial differential equations and "nonlinear potential theory"

Recensioner i media

“This book is an excellent introduction to the infinity Laplacian— it is informative and has up-to-date references.” (Fernando Charro, Mathematical Reviews, April 2017)

Innehållsförteckning

1 Introduction.- 2 Preliminaries.- 3 Variational Solutions.- 4 Viscosity Solutions.- 5 An Asymptotic Mean Value Formula.- 6 Comparison with Cones.- 7 From the Theory of Viscosity Solutions.- 8 Uniqueness of Viscosity Solutions.- 9 Tug-of-War.- 10 The Equation 1v = F.