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

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

2008-09-15

arxiv.org/abs/0809.2523v2

Mathematics

Analysis of PDEs

This paper has been withdrawn by the author due to a gap in the proof of Lemma 2.3. In fact, the condition $\Phi (x,y,0,0) \le

Scientific paper

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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