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Notes on the Infinity Laplace Equation

Posted By: insetes
Notes on the Infinity Laplace Equation

Notes on the Infinity Laplace Equation By Peter Lindqvist
2016 | 68 Pages | ISBN: 3319315315 | PDF | 1 MB


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.