Artículo
Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on in nite lattices
Autor/es | Zhao, Caidi
Jiang, Huite Caraballo Garrido, Tomás |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2021-04-05 |
Fecha de depósito | 2021-08-06 |
Publicado en |
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Resumen | We first verify the global well-posedness of the impulsive reaction-diffusion equations on infinite lattices. Then we establish that the generated process by the solution operators has a pullback attractor and a family of ... We first verify the global well-posedness of the impulsive reaction-diffusion equations on infinite lattices. Then we establish that the generated process by the solution operators has a pullback attractor and a family of Borel invariant probability measures. Furthermore, we formulate the definition of statistical solution for the addressed impulsive system and prove the existence. Our results show that the statistical solution of the impulsive system satisfies merely the Liouville type theorem piecewise, and the Liouville type equation for impulsive system will not always hold true on the interval containing any impulsive point. |
Cita | Zhao, C., Jiang, H. y Caraballo Garrido, T. (2021). Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on in nite lattices. Applied Mathematics and Computation, 404 (Septiembre), 126103-1-126103-19. |
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