Haidar Mohamad

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20142024

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math.AP2024

On $L^{p} - L^{p^{'}}$ estimates for a class of strongly damped wave equations

Haidar Mohamad

The purpose of this paper is to obtain a fundamental $L^{p} - L^{p^{'}}$ estimate for a class of a strongly damped wave equations where the damping operator is given by $- δ Δ$ with $δ\geq…

math.AP2022

Energy asymptotics for the strongly damped Klein-Gordon equation

Haidar Mohamad

We consider the strongly damped Klein Gordon equation for defocusing nonlinearity and we study the asymptotic behaviour of the energy for periodic solutions. We prove first the exp…

math.AP2014

Some existence results for the modified binormal curvature flow equation

Haidar Mohamad

We establish existence and uniqueness results for the modified binormal curvature flow equation that generalizes the binormal curvature flow equation for a curve in $R^{3} .$ In this…

On Lp−Lp′ estimates for a class of strongly damped wave equations

Energy asymptotics for the strongly damped Klein-Gordon equation

Some existence results for the modified binormal curvature flow equation

On $L^{p} - L^{p^{'}}$ estimates for a class of strongly damped wave equations