A note on the polynomial decay of a weakly dissipative viscoelastic system
JH Hassan, SA Messaoudi - Mathematische Nachrichten, 2020 - Wiley Online Library
Mathematische Nachrichten, 2020•Wiley Online Library
… In this note we study an abstract class of weakly dissipative second-order systems with
finite memory. We establish the polynomial decay of Rivera, Naso and Vegni for the solution
of the system under a very weak condition on the relaxation function. … Al-Khulaifi, General
and optimal decay for a quasilinear viscoelastic equation, Appl. Math. Lett. …
finite memory. We establish the polynomial decay of Rivera, Naso and Vegni for the solution
of the system under a very weak condition on the relaxation function. … Al-Khulaifi, General
and optimal decay for a quasilinear viscoelastic equation, Appl. Math. Lett. …
Abstract
In this note we study an abstract class of weakly dissipative second‐order systems with finite memory. We establish the polynomial decay of Rivera, Naso and Vegni for the solution of the system under a very weak condition on the relaxation function.
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