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

##### Authors
Leonori, Tommaso
Urbano, José Miguel
##### Description
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.
Comment: This paper has been withdrawn by the author due to a gap in the proof of Lemma 2.3.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)
##### Keywords
Mathematics - Analysis of PDEs, 35B05, 35K15, 35K55, 35K65