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Notes on the Infinity Laplace Equation
~
Lindqvist, Peter.
Notes on the Infinity Laplace Equation
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Notes on the Infinity Laplace Equation/ by Peter Lindqvist.
Author:
Lindqvist, Peter.
Description:
IX, 68 p. 1 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Partial differential equations. -
Online resource:
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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