Optimal regularity for the pseudo infinity Laplacian
In this paper we find the optimal regularity for viscosity solutions of the pseudo infinity Laplacian. We prove that the solutions are locally Lipschitz and show an example that proves that this result is optimal. We also show existence and uniqueness for the Dirichlet problem. © EDP Sciences, SMAI...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2007 |
| País: | Argentina |
| Institución: | Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales |
| Repositorio: | Biblioteca Digital (UBA-FCEN) |
| Idioma: | inglés |
| OAI Identifier: | paperaa:paper_12928119_v13_n2_p294_Rossi |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_12928119_v13_n2_p294_Rossi |
| Access Level: | acceso abierto |
| Palabra clave: | Optimal regularity Pseudo infinity Laplacian Viscosity solutions Laplace equation Problem solving Viscosity Optimal control systems |
| Sumario: | In this paper we find the optimal regularity for viscosity solutions of the pseudo infinity Laplacian. We prove that the solutions are locally Lipschitz and show an example that proves that this result is optimal. We also show existence and uniqueness for the Dirichlet problem. © EDP Sciences, SMAI 2007. |
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