Zobrazeno 1 - 10
of 1 504
pro vyhledávání: '"Maniar, P."'
This paper deals with the insensitizing controllability property of the quasilinear parabolic equation with dynamic boundary conditions. This problem can be reformulated as a null controllability problem for a cascade quasilinear system with dynamic
Externí odkaz:
http://arxiv.org/abs/2411.19760
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 investigate inverse backward-in-time problems for a class of second-order degenerate Mean-Field Game (MFG) systems. More precisely, given the final datum $(u(\cdot, T),m(\cdot, T))$ of a solution to the one-dimensional mean-field game system with
Externí odkaz:
http://arxiv.org/abs/2410.21541
In this paper, we study a multi-objective inverse initial problem with a Nash strategy constraint for forward stochastic reaction-diffusion equations with dynamic boundary conditions, where both the volume and surface equations are influenced by rand
Externí odkaz:
http://arxiv.org/abs/2410.10007
Autor:
Chorfi, S. E., Maniar, L.
This review surveys previous and recent results on null controllability and inverse problems for parabolic systems with dynamic boundary conditions. We aim to demonstrate how classical methods such as Carleman estimates can be extended to prove null
Externí odkaz:
http://arxiv.org/abs/2409.10302
To accurately describe the energetics of transition metal systems, density functional approximations (DFAs) must provide a balanced description of s- and d- electrons. One measure of this is the sd transfer error, which has previously been defined as
Externí odkaz:
http://arxiv.org/abs/2409.07438
We consider the linear heat equation with a Wentzell-type boundary condition and a Dirichlet control. Such a boundary condition can be reformulated as one of dynamic type. First, we formulate the boundary controllability problem of the system within
Externí odkaz:
http://arxiv.org/abs/2408.01740
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
This paper is devoted to the theoretical and numerical analysis of the null controllability of a coupled ODE-heat system internally and at the boundary with Neumann boundary control. First, we establish the null controllability of the ODE-heat with d
Externí odkaz:
http://arxiv.org/abs/2407.19515
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