Notes on the Infinity Laplace Equation

Beschreibung

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.
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.

Provides concise though comprehensive overview on the topic This book will appeal to a wide readership, from graduate students to researchers Enriches understanding on the topic Includes supplementary material: sn.pub/extras

Autor*in

Peter Lindqvist

Themen in »Notes on the Infinity Laplace Equation«

PDE The infinity laplace operator Viscosity solutions Lipschitz extensions Degenerate elliptic equations Fully non-linear equations partial differential equations ordinary differential equations

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“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)
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