Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Chorfi S"'
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
Autor:
Chorfi, S. E.
In this paper, we prove a sharp uniqueness result for the singular Schr\"odinger equation with an inverse square potential. This will be done without assuming geometrical restrictions on the observation region. The proof relies on a recent technique
Externí odkaz:
http://arxiv.org/abs/2410.21466
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
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
Autor:
Chorfi, S. E., Yamamoto, M.
We consider backward problems for semilinear coupled parabolic systems in bounded domains. We prove conditional stability estimates for linear and semilinear systems of strongly coupled parabolic equations involving general semilinearities. The proof
Externí odkaz:
http://arxiv.org/abs/2405.03653
We consider a class of diffusion equations with the Caputo time-fractional derivative $\partial_t^\alpha u=L u$ subject to the homogeneous Dirichlet boundary conditions. Here, we consider a fractional order $0<\alpha < 1$ and a second-order operator
Externí odkaz:
http://arxiv.org/abs/2404.14046
In this paper, we present a refined approach to establish a global Lipschitz stability for an inverse source problem concerning the determination of forcing terms in the wave equation with mixed boundary conditions. It consists of boundary conditions
Externí odkaz:
http://arxiv.org/abs/2402.12902
This work presents a comparative study to numerically compute impulse approximate controls for parabolic equations with various boundary conditions. Theoretical controllability results have been recently investigated using a logarithmic convexity est
Externí odkaz:
http://arxiv.org/abs/2310.18436
Autor:
Chorfi, S. E., Maniar, L.
We consider the inverse problem of determining initial data in general Ornstein-Uhlenbeck equations on the Euclidean space from partial measurement localized on the so-called thick sets. Using the logarithmic convexity technique and recent observabil
Externí odkaz:
http://arxiv.org/abs/2306.06763
Autor:
Chorfi, S. E., Maniar, L.
In this paper, we continue the investigation on the connection between observability and inverse problems for a class of parabolic equations with unbounded first order coefficients. We prove new logarithmic stability estimates for a class of initial
Externí odkaz:
http://arxiv.org/abs/2301.12907