Existence and uniqueness for the inhomogeneous 1-Laplace evolution equation revisited
In this paper we deal with an inhomogeneous parabolic Dirichlet problem involving the 1-Laplacian operator. We show the existence of a unique solution when data belong to L^1(0,T;L^2(\Omega)) for every T>0. As a consequence, global existence and uniqueness for data in L^1_{loc}(0,+\infty;L^2(\Ome...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad Rey Juan Carlos |
| Repositorio: | BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos |
| OAI Identifier: | oai:burjcdigital.urjc.es:10115/31915 |
| Acceso en línea: | https://hdl.handle.net/10115/31915 |
| Access Level: | acceso embargado |
| Palabra clave: | Nonlinear parabolic equations 1-Laplacian operator Existence Uniqueness |
| Sumario: | In this paper we deal with an inhomogeneous parabolic Dirichlet problem involving the 1-Laplacian operator. We show the existence of a unique solution when data belong to L^1(0,T;L^2(\Omega)) for every T>0. As a consequence, global existence and uniqueness for data in L^1_{loc}(0,+\infty;L^2(\Omega)) is obtained. Our analysis retrieves previous results in a correct and complete way. |
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