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arXiv · 0809.2523

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

Tommaso Leonori·José Miguel Urbano
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Abstract

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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Tommaso Leonori, José Miguel Urbano. 2008-09-15. Growth conditions and uniqueness of the Cauchy problem for the evolutionary infinity Laplacian. https://arxiv.org/abs/0809.2523

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