Peter Lindqvist

Notes on the Infinity Laplace Equation

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• SpringerBriefs in Mathematics
• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-319-31531-7
• 1st ed. 2016
• Seitenzahl: 80
• Erscheinungstermin: 26. April 2016
• Englisch
• Abmessung: 235mm x 155mm x 5mm
• Gewicht: 147g
• ISBN-13: 9783319315317
• ISBN-10: 3319315315
• Artikelnr.: 44570452

Autorenporträt

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"

Inhaltsangabe

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.

Rezensionen

"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)