In this paper, we investigate the existence and uniqueness of solutions for a class of evolutionary integral equations perturbed by a noise arising in the theory of heat conduction. As a motivation of our results, we study an optimal control problem when the control enters the system together with the noise
Mastrogiacomo, E., Confortola, F. (2014). Optimal control for stochastic heat equation with memory. EVOLUTION EQUATIONS AND CONTROL THEORY, 3(1), 35-58 [10.3934/eect.2014.3.35].
Optimal control for stochastic heat equation with memory
MASTROGIACOMO, ELISAPrimo
;
2014
Abstract
In this paper, we investigate the existence and uniqueness of solutions for a class of evolutionary integral equations perturbed by a noise arising in the theory of heat conduction. As a motivation of our results, we study an optimal control problem when the control enters the system together with the noise
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