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math.AP2022
Note on stability of an abstract coupled hyperbolic-parabolic system: singular case
Kaïs Ammari, Farhat Shel, Zhuangyi Liu
In this paper we try to complete the stability analysis for an abstract system of coupled hyperbolic and parabolic equations $$ \left\{ \begin{array}{lll} \ds u_{tt} + Au - A^αw =…
math.AP2022
Dispersion on certain Cartesian products of graphs
Kaïs Ammari, Mostafa Sabri
In this short note we prove a sharp dispersive estimate for any Cartesian product of th…
math.AP2022
Positive and negative exact boundary controllability results for the linear Biharmonic Schrödinger equation
Kaïs Ammari, Hedi Bouzidi
In this paper, we study the exact boundary controllability of the linear Biharmonic Schrödinger equation on a bounded domain with hing…