Monday, August 28, 2017

Notes On The Infinity Laplace Equation

Notes On The Infinity Laplace Equation

Authors: Lindqvist, Peter

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

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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