Notes on the Infinity Laplace Equation

• Main Author: Lindqvist, Peter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Image processing.; Differential equations.; Partial differential equations.; Computer mathematics.; Partial Differential Equations.; Image Processing and Computer Vision.; Computational Science and Engineering.; Ordinary Differential Equations.

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 Brown...

Table of Contents:

• 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.