Notes on the Infinity Laplace Equation

Nonfiction, Science & Nature, Mathematics, Differential Equations, Computers, Application Software, Computer Graphics
Cover of the book Notes on the Infinity Laplace Equation by Peter Lindqvist, Springer International Publishing
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Author: Peter Lindqvist ISBN: 9783319315324
Publisher: Springer International Publishing Publication: May 25, 2016
Imprint: Springer Language: English
Author: Peter Lindqvist
ISBN: 9783319315324
Publisher: Springer International Publishing
Publication: May 25, 2016
Imprint: Springer
Language: English

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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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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