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

Jos\'e Miguel Urbano; Tommaso Leonori

arxiv: 0809.2523 · v2 · pith:YHX7LNNLnew · submitted 2008-09-15 · 🧮 math.AP

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

Tommaso Leonori , Jos\'e Miguel Urbano This is my paper

classification 🧮 math.AP

keywords growthinfinitycauchyproblemuniquenessassumingclasscomparison

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

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