Notes on the Infinity Laplace Equation / by Peter Lindqvist

By:

Lindqvist, Peter [aut]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerBriefs in Mathematics | SpringerLink BücherPublisher: Cham : Springer, 2016Description: Online-Ressource (IX, 68 p. 1 illus. in color, online resource)ISBN:

9783319315324

Subject(s):

Additional physical formats: 9783319315317 | Druckausg.: Notes on the infinity Laplace equation. Switzerland : Springer, 2016. ix, 68 SeitenMSC: MSC: *35J60 | 35-02 | 35J25RVK: RVK: SK 560LOC classification:

QA370-380

DOI: DOI: 10.1007/978-3-319-31532-4Online resources:

Summary: 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.Summary: 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.PPN: PPN: 1658668189Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA

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