Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations
In this article, the authors investigate the system of Schr odinger and Klein-Gordon equations with Yukawa coupling. They rst prove the existence of pullback attractor and construct a family of invariant Borel probability measures. Then they establish that this family of probability measures satis e...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/106412 |
| Acceso en línea: | https://hdl.handle.net/11441/106412 https://doi.org/10.1016/j.jde.2021.01.039 |
| Access Level: | acceso abierto |
| Palabra clave: | Klein-Gordon-Schdinger equations Statistical solution Pullback attractor Invariant measure Liouville type theorem |
| Sumario: | In this article, the authors investigate the system of Schr odinger and Klein-Gordon equations with Yukawa coupling. They rst prove the existence of pullback attractor and construct a family of invariant Borel probability measures. Then they establish that this family of probability measures satis es a Liouville type theorem and is indeed a statistical solution for the coupling equations. Further, they reveal that the invariant property of the statistical solution is a particular situation of the Liouville type theorem. |
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