Growth conditions and uniqueness of the Cauchy problem for the evolutionary inf...

• Author(s): Leonori, Tommaso ; Urbano, José Miguel
• Date: 2008
• Persistent ID: http://hdl.handle.net/10316/11223
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Infinity Laplacian; Cauchy problem; Uniqueness; Growth at infinity
• Document Type: Preprint
• Language: English

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.