Well-posedness for the fourth-order Moore-Gibson-Thompson equation in the class of Banach-space-valued Holder-continuous functions
[EN] In this work, we provide a full characterization of well-posedness in vector-valued Holder continuous function spaces for a fourth-order abstract evolution equation arising from the Moore-Gibson-Thompson equation with memory using operator-valued C-alpha-Fourier multipliers. We illustrate our r...
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| 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:10251/199846 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/199846 |
| Access Level: | acceso abierto |
| Palabra clave: | C-alpha-well posedness Dirichlet Laplacian Fourier multipliers Fourth-order Moore-Gibson-Thompson equation |
| Sumario: | [EN] In this work, we provide a full characterization of well-posedness in vector-valued Holder continuous function spaces for a fourth-order abstract evolution equation arising from the Moore-Gibson-Thompson equation with memory using operator-valued C-alpha-Fourier multipliers. We illustrate our results by providing an example based on the fourth order Moore-Gibson-Thompson equation with Dirichlet boundary conditions. |
|---|