ENGLISH

Notes on the Infinity Laplace Equation

By Peter Lindqvist (auth.)

Book information

Publisher
Springer International Publishing
Year
2016
ISBN
978-3-319-31531-7, 978-3-319-31532-4
DOI
10.1007/978-3-319-31532-4
Language
english
Format
PDF
Filesize
1 MB (1280998 bytes)
Series
SpringerBriefs in Mathematics
Edition
1
Pages
IX, 68\73
Time added
2016-07-20 04:00:00
Partial Differential Equations; Image Processing a

Description

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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