Growth conditions and uniqueness of the Cauchy problem for the evolutionary infinity Laplacian

We study the Cauchy problem for the parabolic infinity Laplace equation. We prove a new comparison principle and obtain uniqueness of viscosity solutions in the class of functions with a polinomial growth at infinity, improving previous results obtained assuming a linear growth.

Bibliographic Details
Main Author: Leonori, Tommaso (author)
Other Authors: Urbano, José Miguel (author)
Format: other
Language:eng
Published: 2008
Subjects:
Infinity Laplacian
Cauchy problem
Uniqueness
Growth at infinity
Online Access:http://hdl.handle.net/10316/11223
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11223
Description
Summary:We study the Cauchy problem for the parabolic infinity Laplace equation. We prove a new comparison principle and obtain uniqueness of viscosity solutions in the class of functions with a polinomial growth at infinity, improving previous results obtained assuming a linear growth.

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