Article
Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations
Author/s | Zhao, Caidi
Caraballo Garrido, Tomás ![]() ![]() ![]() ![]() ![]() ![]() ![]() Lukaszewicz, Grzegorz |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2021-01-28 |
Deposit Date | 2021-03-22 |
Published in |
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Abstract | 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 ... 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. |
Funding agencies | Ministerio de Ciencia, Innovación y Universidades (MCIU). España Agencia Estatal de Investigación. España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Project ID. | PGC2018-096540-B-I00
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Citation | Zhao, C., Caraballo Garrido, T. y Lukaszewicz, G. (2021). Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations. Journal of Differential Equations, 281 (April), 1-1-32-32. |
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