Well-posedness for a fourth-order equation of Moore-Gibson-Thompson type
[EN] In this paper, we completely characterize, only in terms of the data, the well-posedness of a fourth order abstract evolution equation arising from the Moore-Gibson-Thomson equation with memory. This characterization is obtained in the scales of vector-valued Lebesgue, Besov and Triebel-Lizorki...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/188907 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/188907 |
| Access Level: | acceso abierto |
| Palabra clave: | Well-posedness Moore-Gibson-Thompson equation Operator-valued multipliers R-boundedness MATEMATICA APLICADA |
| Sumario: | [EN] In this paper, we completely characterize, only in terms of the data, the well-posedness of a fourth order abstract evolution equation arising from the Moore-Gibson-Thomson equation with memory. This characterization is obtained in the scales of vector-valued Lebesgue, Besov and Triebel-Lizorkin function spaces. Our characterization is flexible enough to admit as examples the Laplacian and the fractional Laplacian operators, among others. We also provide a practical and general criteria that allows L-p-L-q-well-posedness. |
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