Notes on the Infinity Laplace Equation - Couverture souple

Livre 72 sur 155: SpringerBriefs in Mathematics

Lindqvist, Peter

 
9783319315317: Notes on the Infinity Laplace Equation

Synopsis

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.

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À propos de l?auteur

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"

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