Artículo
Multi-valued random dynamics og stochastic wave equations with infinite delays
Autor/es | Wang, Jingyu
Wang, Yejuan Caraballo Garrido, Tomás |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones diferenciales y Análisis numérico |
Fecha de publicación | 2022-10-01 |
Fecha de depósito | 2022-09-29 |
Publicado en |
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Resumen | This paper is devoted to the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with infinite delays. The nonlinear terms of the equation are not expected to be Lipschitz continuous, but only ... This paper is devoted to the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with infinite delays. The nonlinear terms of the equation are not expected to be Lipschitz continuous, but only satisfy continuity assumptions along with growth conditions, under which the uniqueness of the solutions may not hold. Using the theory of multi-valued non-autonomous random dynamical systems, we prove the existence and measurability of a compact global pullback attractor. |
Cita | Wang, J., Wang, Y. y Caraballo Garrido, T. (2022). Multi-valued random dynamics og stochastic wave equations with infinite delays. American institute of mathematical sciences, 27 (10), 6147-6172. |
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