03196nam 22006135 450 991025409190332120200630092748.03-319-31532-310.1007/978-3-319-31532-4(CKB)3710000000718276(EBL)4533452(DE-He213)978-3-319-31532-4(MiAaPQ)EBC4533452(PPN)194805425(EXLCZ)99371000000071827620160415d2016 u| 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierNotes on the Infinity Laplace Equation /by Peter Lindqvist1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (73 p.)SpringerBriefs in Mathematics,2191-8198Description based upon print version of record.3-319-31531-5 Includes bibliographical references.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.SpringerBriefs in Mathematics,2191-8198Differential equations, PartialOptical data processingComputer scienceMathematicsDifferential equationsPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Image Processing and Computer Visionhttps://scigraph.springernature.com/ontologies/product-market-codes/I22021Computational Science and Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/M14026Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Differential equations, Partial.Optical data processing.Computer scienceMathematics.Differential equations.Partial Differential Equations.Image Processing and Computer Vision.Computational Science and Engineering.Ordinary Differential Equations.510Lindqvist Peterauthttp://id.loc.gov/vocabulary/relators/aut516243BOOK9910254091903321Notes on the Infinity Laplace Equation2108055UNINA