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Stochastic parabolic systems with memory termsold_uid | 8338 |
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title | Stochastic parabolic systems with memory terms |
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start_date | 2010/03/12 |
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schedule | 11h |
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online | no |
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summary | The existence and uniqueness of solutions for 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. In the case of additive noise we prove that the equation generates a random dynamical system in an appropriate phase space which possesses the random pullback attractor.
Some of the results were established in collaboration with T. Caraballo, P. Marin-Rubio and J. Real |
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responsibles | Bardet, Cottrell |
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