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arXiv:0809.2523 [math.AP]AbstractReferencesReviewsResources

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

Tommaso Leonori, José Miguel Urbano

Published 2008-09-15, updated 2010-09-07Version 2

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.

Comments: This paper has been withdrawn by the author due to a gap in the proof of Lemma 2.3. In fact, the condition $\Phi (x,y,0,0) \leq 0$ does not directly follow from (6) and (7)
Categories: math.AP
Subjects: 35B05, 35K15, 35K55, 35K65
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