TY  - BOOK
AU  - Lindqvist,Peter
ED  - SpringerLink (Online service)
TI  - Notes on the Infinity Laplace Equation
T2  - SpringerBriefs in Mathematics,
SN  - 9783319315324
AV  - QA370-380 
U1  - 515.353 23
PY  - 2016///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Differential equations, partial
KW  - Computer vision
KW  - Computer science
KW  - Differential Equations
KW  - Partial Differential Equations
KW  - Image Processing and Computer Vision
KW  - Computational Science and Engineering
KW  - Ordinary Differential Equations
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-31532-4
ER  -