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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.

preprint2010arXivOpen access
Tommaso LeonoriJosé Miguel Urbano
math.AP
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Open access2 authors1 topic
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Tommaso LeonoriJosé Miguel Urbano

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