Carleman Estimates and Controllability of Stochastic degenerate parabolic Heat Equations

Autor:	Baroun, M., Fadili, M., Khchine, A., Maniar, L.
Rok vydání:	2022
Předmět:	Mathematics - Optimization and Control Primary 60H15 93E99 35K65 Secondary 93B05 93B07
Druh dokumentu:	Working Paper
Popis:	This paper concerns the null controllability for a class of stochastic degenerate parabolic equations. We first establish a global Carleman estimate for a linear forward stochastic degenerate equation with multiplicative noise. Using this estimate we prove the null controllability of the backward equation and obtain a partial result for the controllability of the forward equation. Also, using a new Carleman estimate for backward equation with weighted function which does not vanish at time t = 0 and the duality method HUM we get the null controllability of a forward stochastic degenerate equation under the action of two controls. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.10070 Zobrazit plný text záznamu View this record from Arxiv