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

• Autor(es): Leonori, Tommaso ; Urbano, José Miguel
• Data: 2008
• Identificador Persistente: http://hdl.handle.net/10316/11223
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): Infinity Laplacian; Cauchy problem; Uniqueness; Growth at infinity
• Tipo de Documento: Preprint
• Idioma: Inglês

Descrição

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.