L-p-L-q-Well Posedness for the Moore-Gibson-Thompson Equation with Two Temperatures on Cylindrical Domains
[EN] We examine the Cauchy problem for a model of linear acoustics, called the Moore-Gibson-Thompson equation, describing a sound propagation in thermo-viscous elastic media with two temperatures on cylindrical domains. For an adequate combination of the parameters of the model we prove L-p-L-q-well...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| 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:10251/171999 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/171999 |
| Access Level: | acceso abierto |
| Palabra clave: | Well-posedness Moore-Gibson-Thompson equation Degenerate evolution equations R-boundedness MATEMATICA APLICADA |
| Sumario: | [EN] We examine the Cauchy problem for a model of linear acoustics, called the Moore-Gibson-Thompson equation, describing a sound propagation in thermo-viscous elastic media with two temperatures on cylindrical domains. For an adequate combination of the parameters of the model we prove L-p-L-q-well-posedness, and we provide maximal regularity estimates which are optimal thanks to the theory of operator-valued Fourier multipliers. |
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