4 papers · 1 filter
Stability of backward-in-time semilinear coupled parabolic systems
S. E. Chorfi, M. Yamamoto
We consider backward problems for semilinear coupled parabolic systems in bounded domains. We prove conditional stability estimates for linear and semilinear systems of strongly co…
Logarithmic convexity of non-symmetric time-fractional diffusion equations
S. E. Chorfi, L. Maniar, M. Yamamoto
We consider a class of diffusion equations with the Caputo time-fractional derivative subject to the homogeneous Dirichlet boundary conditions. Here, we conside…
Stability estimates for initial data in general Ornstein-Uhlenbeck equations
S. E. Chorfi, L. Maniar
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…
Numerical identification of initial temperatures in heat equation with dynamic boundary conditions
S. E. Chorfi, G. El Guermai, L. Maniar +1
We investigate the inverse problem of numerically identifying unknown initial temperatures in a heat equation with dynamic boundary conditions whenever some overdetermination data…