Article
Existence and Asymptotic Behaviour for Stochastic Heat Equations with Multiplicative Noise in Materials With Memory
Author/s | Caraballo Garrido, Tomás
![]() ![]() ![]() ![]() ![]() ![]() ![]() Chueshov, Igor D. Marín Rubio, Pedro ![]() ![]() ![]() ![]() ![]() ![]() ![]() Real Anguas, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2007 |
Deposit Date | 2015-04-08 |
Published in |
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Abstract | The existence and uniqueness of solutions for a stochastic reaction-diffusion equation with infinite delay is proved. Sufficient conditions ensuring stability of the zero solution are provided and a possibility of stabilization ... The existence and uniqueness of solutions for a stochastic reaction-diffusion equation with infinite delay is proved. Sufficient conditions ensuring stability of the zero solution are provided and a possibility of stabilization by noise of the deterministic counterpart of the model is studied. |
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