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14 papers
Carleman Estimates and Controllability of Stochastic degenerate parabolic Heat Equations
M. Baroun, M. Fadili, A. Khchine +1
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…
The Biharmonic Heat Equation with General Dynamic Boundary Conditions
S. E. Chorfi, F. Et-tahri, L. Maniar
In this work, we initiate the study of the biharmonic heat equation in a spatial bounded domain subject to dynamic boundary conditions involving the bi-Laplace-Beltrami operator on…
Maximal regularity for time-fractional Schrödinger equations and application to nonlinear equations
S. E. Chorfi, F. Et-tahri, L. Maniar +1
We study the maximal regularity problem for abstract time-fractional Schrödinger equations , with a fractional derivative o…
Backward problem for a degenerate viscous Hamilton-Jacobi equation: stability and numerical identification
S. E. Chorfi, A. Habbal, M. Jahid +2
This work is devoted to the analysis of the backward problem for a viscous Hamilton-Jacobi equation with degenerate diffusion and a general Hamiltonian that is not necessarily quad…
Carleman Estimates for Backward Anisotropic Stochastic Parabolic Equations with General Dynamic Boundary Conditions and Applications
Said Boulite, Abdellatif Elgrou, Lahcen Maniar +1
We investigate a backward anisotropic stochastic parabolic equation with general dynamic boundary conditions, where the drift involves both and bul…
Averaged Controllability of Time-Fractional Schrödinger Equations with Random Quantum Diffusivity
Jon Asier Bárcena-Petisco, Salah-Eddine Chorfi, Fouad Et-tahri +1
This paper addresses the problem of averaged controllability for the time-fractional Schrodinger equation, where the quantum diffusivity parameter is a random variable with a gener…