Bonaccorsi, Stefano and Da Prato, Giuseppe and Tubaro, Luciano (2011) Asymptotic behaviour of a class of nonlinear heat conduction problems with memory effects. UNSPECIFIED. (Unpublished)
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Abstract
In this paper, we investigate the existence and uniqueness problem for the solutions to a class of semilinear stochastic Volterra equations which arise in the theory of heat conduction with memory eects, where the heat source depends on the solution via a dissipative term. Further, we analyse the asymptotic behaviour of the solution and we prove the existence of a ergodic invariant measure.
| Item Type: | Departmental Technical Report |
|---|---|
| Department or Research center: | Mathematics |
| Subjects: | Q Science > QA Mathematics > QA276 Mathematical Statistics Q Science > QA Mathematics > QA273 Probabilities Q Science > QA Mathematics > QA374.7 Partial differential equations |
| Uncontrolled Keywords: | integral stochastic equation, asymptotic behaviour, invariant measure |
| Report Number: | UTM 745 |
| Repository staff approval on: | 25 Jul 2011 |
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