Lindqvist P. Notes on the Infinity Laplace Equation

New York: Springer, 2016. - 73 p.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.Topics:Partial Differential Equations
Image Processing and Computer Vision
Computational Science and Engineering
Ordinary Differential Equations