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Notes on the Infinity Laplace Equation

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Notes on the Infinity Laplace Equation/ by Peter Lindqvist.
作者:	Lindqvist, Peter.
面頁冊數:	IX, 68 p. 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Partial differential equations. -
電子資源:	https://doi.org/10.1007/978-3-319-31532-4
ISBN:	9783319315324

Notes on the Infinity Laplace Equation
Lindqvist, Peter.

Notes on the Infinity Laplace Equation[electronic resource] /by Peter Lindqvist. - 1st ed. 2016. - IX, 68 p. 1 illus. in color.online resource. - SpringerBriefs in Mathematics,2191-8198. - SpringerBriefs in Mathematics,.

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.

ISBN: 9783319315324

Standard No.: 10.1007/978-3-319-31532-4doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Notes on the Infinity Laplace Equation
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