3 papers
math.AP2025
Stability of Degenerate Schrödinger Equation with Harmonic Method
Khadidja Fekirini, Naima Louhibi, Abbes Benaissa
This paper is devoted to study the well-posedness and stability of degenerate Schrödinger equation with a boundary control acting at the degeneracy. First, we establish the well-po…
math.AP2024
On the Stability of swelling porous elastic soils with a single internal fractional damping
Said Rafa, Abbes Benaissa
We study polynomial stability to the one-dimensional system in the linear isothermal theory of swelling porous elastic soils with an internal fractional damping. We establish an op…
math.AP2023
Indirect boundary stabilization for weakly coupled degenerate wave equations under fractional damping
Rachid Benzaid, Abbes Benaissa
In this paper, we consider the well-posedness and stability of a one-dimensional system of degenerate wave equations coupled via zero order terms with one boundary fractional dampi…