Notes On The Infinity Laplace Equation by Peter LindqvistNotes On The Infinity Laplace Equation by Peter Lindqvist

Notes On The Infinity Laplace Equation

byPeter Lindqvist

Paperback | April 26, 2016

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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.
Peter Lindqvist Professor of MathematicsDepartment of Mathematical SciencesNorwegian University of Science and TechnologyTrondheim, NorwayResearch interests: Analysis, in particular partial differential equations and "nonlinear potential theory"
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Title:Notes On The Infinity Laplace EquationFormat:PaperbackDimensions:68 pagesPublished:April 26, 2016Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319315315

ISBN - 13:9783319315317

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Table of Contents

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.

Editorial Reviews

"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)