Notes on the Infinity Laplace Equation
| By: | Peter Lindqvist |
| Publisher: | Springer Nature |
| Print ISBN: | 9783319315317 |
| eText ISBN: | 9783319315324 |
| Edition: | 0 |
| Copyright: | 2016 |
| Format: | Reflowable |
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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.