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20082026
most citedWellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound

87 citations · 268 across the 23 of their papers we have counts for

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math.AP2008★ 36 cited

Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions

Stéphane Gerbi, Belkacem Said-Houari

In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions, related to the Kelvin-Voigt damping. Global existence and asymptotic stability of solu…

math.AP2008

Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions

Stéphane Gerbi, Belkacem Said-Houari

In this paper we consider a multi-dimensional damped semiliear wave equation with dynamic boundary conditions, related to the Kelvin-Voigt damping. We firstly prove the local exist…