Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Hassi, E. M. Ait Ben"'
Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions
Publikováno v:
Inverse Problems 38 (2022) 115007
In this work, we study the stable determination of four space-dependent coefficients appearing in a coupled semilinear parabolic system with variable diffusion matrices subject to dynamic boundary conditions which couple intern-boundary phenomena. We
Externí odkaz:
http://arxiv.org/abs/2208.01114
We investigate the link between inverse problems and final state observability for a general class of parabolic systems. We generalize a stability result for initial data due to Garc\'ia and Takahashi [16], known for the case of self-adjoint dissipat
Externí odkaz:
http://arxiv.org/abs/2110.01321
Publikováno v:
Mathematical Methods in the Applied Sciences, 45, (2022), 2364-2379
We study an inverse parabolic problem of identifying two source terms in heat equation with dynamic boundary conditions from a final time overdetermination data. Using a weak solution approach by Hasanov, the associated cost functional is analyzed, e
Externí odkaz:
http://arxiv.org/abs/2105.14518
Publikováno v:
Journal of Inverse and Ill-posed Problems 2021
We study an inverse problem involving the restoration of two radiative potentials, not necessarily smooth, simultaneously with initial temperatures in parabolic equations with dynamic boundary conditions. We prove a Lipschitz stability estimate for t
Externí odkaz:
http://arxiv.org/abs/2103.15116
Publikováno v:
Evolution Equations & Control Theory 10 (2021), 837-859
In this paper, we study an inverse problem for linear parabolic system with variable diffusion coefficients subject to dynamic boundary conditions. We prove a global Lipschitz stability for the inverse problem involving a simultaneous recovery of two
Externí odkaz:
http://arxiv.org/abs/2003.07884
In this paper we study the null controllability of some non diagonalizable degenerate parabolic systems of PDEs, we assume that the diffusion, coupling and controls matrices are constant and we characterize the null controllability by an algebraic co
Externí odkaz:
http://arxiv.org/abs/1808.07524
In this paper we characterize the stabilization for some thermo-elastic type system with Cattaneo law and we prove that the exponential or polynomial stability of this system implies a polynomial stability of the correspond thermoelastic system with
Externí odkaz:
http://arxiv.org/abs/1307.7393
In this paper, we study the null controllability of weakly degenerate coupled parabolic systems with two different diffusion coefficients and one control force. To obtain this aim, we develop first new global Carleman estimates for degenerate parabol
Externí odkaz:
http://arxiv.org/abs/1111.3665