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Notes on the Infinity Laplace Equation de Peter Lindqvist

Notes on the Infinity Laplace Equation: SpringerBriefs in Mathematics

Autor Peter Lindqvist
en Limba Engleză Paperback – 26 apr 2016
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.
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Specificații

ISBN-13: 9783319315317
ISBN-10: 3319315315
Pagini: 68
Ilustrații: IX, 68 p. 1 illus. in color.
Dimensiuni: 155 x 235 x 4 mm
Greutate: 1.36 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seria SpringerBriefs in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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.

Recenzii

“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)

Notă biografică

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"

Textul de pe ultima copertă

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.

Caracteristici

Provides concise though comprehensive overview on the topic This book will appeal to a wide readership, from graduate students to researchers Enriches understanding on the topic Includes supplementary material: sn.pub/extras