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pro vyhledávání: '"Boulite"'
In this paper, we continue the study of some controllability issues for the forward stochastic heat equation with dynamic boundary conditions. The main novelty in the present paper consists of considering only one control without extra forces in the
Externí odkaz:
http://arxiv.org/abs/2411.18501
We prove the null controllability of a cascade system of \(n\) coupled backward stochastic parabolic equations involving both reaction and convection terms, as well as general second-order parabolic operators, with \(n \geq 2\). To achieve this, we a
Externí odkaz:
http://arxiv.org/abs/2411.09079
We study a hierarchical control problem for stochastic parabolic equations involving gradient terms. We employ the Stackelberg-Nash strategy with two leaders and two followers. The leaders are responsible for selecting the policy targeting null contr
Externí odkaz:
http://arxiv.org/abs/2407.20366
We establish the null controllability of forward and backward linear stochastic parabolic equations with linear Robin (or Fourier) boundary conditions. These equations incorporate zero and first order terms with bounded coefficients. To prove our nul
Externí odkaz:
http://arxiv.org/abs/2406.08103
This paper deals with a hierarchical multi-objective control problem for forward stochastic parabolic equations with dynamic boundary conditions. The controls are divided into two classes: leaders and followers. The goal of the leaders is of null con
Externí odkaz:
http://arxiv.org/abs/2405.15730
This paper is concerned with the null controllability for linear backward stochastic parabolic equations with dynamic boundary conditions and convection terms. Using the classical duality argument, the null controllability is obtained via an appropri
Externí odkaz:
http://arxiv.org/abs/2401.04816
In this paper, we continue the study of some controllability issues for the forward stochastic parabolic equation with dynamic boundary conditions. The main novelty in the present paper consists of considering only one control without extra forces in
Externí odkaz:
http://arxiv.org/abs/2312.15537
This paper addresses null controllability for both forward and backward linear stochastic parabolic equations by introducing convection terms on the drift parts with bounded coefficients. Moreover, the forward stochastic parabolic equation includes a
Externí odkaz:
http://arxiv.org/abs/2306.13202
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2020 Nov . 378(2185), 1-19.
Externí odkaz:
https://www.jstor.org/stable/27101073
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