Notes on the Infinity Laplace Equation (SpringerBriefs in Mathematics) - Softcover

Book 72 of 155: SpringerBriefs in Mathematics

Lindqvist, Peter

 
9783319315317: Notes on the Infinity Laplace Equation (SpringerBriefs in Mathematics)

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

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"

From the Back Cover

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.

"About this title" may belong to another edition of this title.