Notes on the Infinity-Laplace Equation
(Sprache: Englisch)
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...
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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.Inhaltsverzeichnis zu „Notes on the Infinity-Laplace Equation “
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.
Autoren-Porträt von Peter Lindqvist
Peter LindqvistProfessor 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"
Bibliographische Angaben
- Autor: Peter Lindqvist
- 2016, 1st ed. 2016, IX, 68 Seiten, 68 farbige Abbildungen, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3319315315
- ISBN-13: 9783319315317
- Erscheinungsdatum: 26.04.2016
Sprache:
Englisch
Pressezitat
"This book is an excellent introduction to the infinity Laplacian- it is informative and has up-to-date references." (Fernando Charro, Mathematical Reviews, April 2017)
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