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, ELISA
Primo
;
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
Articolo in rivista - Articolo scientifico
Dynamical systems; Equations with memory; Forward-backward systems; Semigroup theory; Stochastic optimal control;
equations with memory, dynamical systems, semigroup theory, forward-backward systems, stochastic optimal control
English
2014
3
1
35
58
open
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/55946
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