The Infinity Laplace Equation

In this thesis, we prove that the Infinity-Laplace equation has a unique solution in the viscosity sense. We prove existence by approximating the equation by the p-Laplace equation, and uniqueness will be shown by use of the Theorem on Sums. We will also show that the viscosity solutions of the Infi...

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Bibliographic Details
Main Author: Ubostad, Nikolai Høiland
Format: Others
Language:English
Published: Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag 2013
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-20686