E-Book (pdf) Notes on the Infinity Laplace Equation von Peter Lindqvist
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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.



Autorentext
Peter Lindqvist
Professor of Mathematics
Department of Mathematical Sciences
Norwegian University of Science and Technology
Trondheim, Norway

Research interests: Analysis, in particular partial differential equations and "nonlinear potential theory"



Klappentext
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.

Inhalt
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.
Titel
Notes on the Infinity Laplace Equation
Autor
Peter Lindqvist
EAN
9783319315324
ISBN
978-3-319-31532-4
Format
E-Book (pdf)
Hersteller
Springer Nature Switzerland
Herausgeber
Springer
Genre
Analysis
Veröffentlichung
25.05.2016
Digitaler Kopierschutz
Wasserzeichen
Dateigrösse
1.26 MB
Anzahl Seiten
68
Jahr
2016
Untertitel
Englisch