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.

Optimal control for stochastic heat equation with memory.

CONFORTOLA, FULVIA;
2014-01-01

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.
2014
Equations with memory, dynamical systems, semigroup theory, forward-backward systems, stochastic optimal control.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/622166
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