Article
Dynamics of multi-valued retarded p-Laplace equations driven by nonlinear colored noise
Author/s | Wang, Fengling
Caraballo Garrido, Tomás Li, Yangrong |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2023-03-21 |
Deposit Date | 2023-11-06 |
Published in |
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Abstract | This paper mainly considers the long-term behavior of p-Laplace equations with infinite delays driven by nonlinear colored noise. We firstly prove the existence of weak solutions to
the equation, but the uniqueness of ... This paper mainly considers the long-term behavior of p-Laplace equations with infinite delays driven by nonlinear colored noise. We firstly prove the existence of weak solutions to the equation, but the uniqueness of solutions cannot be guaranteed due to the lack of Lipschitz continuity conditions, and thus generate a multi-valued dynamical system. Moreover, the regularity of solutions is also proved. Then we prove the existence of a pullback attractor. Subsequently, the measurability of the pullback attractor and the multi-valued dynamical system are also proved. |
Citation | Wang, F., Caraballo Garrido, T. y Li, Y. (2023). Dynamics of multi-valued retarded p-Laplace equations driven by nonlinear colored noise. Journal of Mathematical Physics, 64, 102701-1. https://doi.org/10.1063/5.0151360. |
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