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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…
Lipschitz stability for an inverse source problem of the wave equation with kinetic boundary conditions
S. E. Chorfi, G. El Guermai, L. Maniar +1
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 equat…
Inverse problems for time-fractional Schrödinger equations
S. E. Chorfi, F. Et-tahri, L. Maniar +1
We study some inverse problems for time-fractional Schrödinger equations involving the Caputo derivative of fractional order . We prove refined uniqueness results fro…
Forward and backward problems for abstract time-fractional Schrödinger equations
S. E. Chorfi, F. Et-tahri, L. Maniar +1
We investigate forward and backward problems associated with abstract time-fractional Schrödinger equations , an…