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The Infinity Laplace Equation
Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, Department of Mathematical Sciences.
2013 (English)MasteroppgaveStudent thesis
Abstract [en]

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 Infinity-Laplace equation enjoys comparison with cones, and vice versa.

Place, publisher, year, edition, pages
Institutt for matematiske fag , 2013. , 80 p.
URN: urn:nbn:no:ntnu:diva-20686Local ID: ntnudaim:6926OAI: diva2:616146
Available from: 2013-04-15 Created: 2013-04-15 Last updated: 2013-06-22Bibliographically approved

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