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＜電子ブック＞
Notes on the Infinity Laplace Equation / by Peter Lindqvist
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
大きさ	IX, 68 p. 1 illus. in color : online resource
著者標目	*Lindqvist, Peter author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Computer vision LCSH:Mathematics—Data processing FREE:Differential Equations FREE:Computer Vision FREE:Computational Science and Engineering
一般注記	1 Introduction -- 2 Preliminaries -- 3 Variational Solutions -- 4 Viscosity Solutions -- 5 An Asymptotic Mean Value Formula -- 6 Comparison with Cones -- 7 From the Theory of Viscosity Solutions -- 8 Uniqueness of Viscosity Solutions -- 9 Tug-of-War -- 10 The Equation 1v = F 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 HTTP:URL=https://doi.org/10.1007/978-3-319-31532-4

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