Well-posedness and stability for a viscoelastic Petrovsky equation with a localized nonlinear damping

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dc.contributor.authorSabbagh, Zineb
dc.contributor.authorKhemmoudj, Ammar
dc.contributor.authorAbdelli, Mama
dc.date.accessioned2023-05-08T07:41:30Z
dc.date.available2023-05-08T07:41:30Z
dc.date.issued2023
dc.description.abstractIn this paper, we consider a viscoelastic Petrovsky equation with localised nonlinear damping in bounded domain. The nonlinear damping is effective only in a neighborhood of a suitable subset of the boundary. Using the Faedo–Galerkin approximations together with some energy estimates, we prove the global existence of the solutions. Under the same assumptions, exponential decay results of the energy are established via suitable Lyapunov functionalsen_US
dc.identifier.issn2254-3902
dc.identifier.urihttps://dspace.univ-boumerdes.dz/handle/123456789/11475
dc.identifier.urihttps://link.springer.com/article/10.1007/s00289-023-05028-5
dc.identifier.urihttps://doi.org/10.1007/s00289-023-05028-5
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofseriesSeMA Journal/ Vol. 81, N° 2(June 2024 ); PP. 307 - 328
dc.subjectExponential stabilizationen_US
dc.subjectFaedo–Galerkinen_US
dc.subjectMultiplier methoden_US
dc.subjectNonlinear localized dampingen_US
dc.subjectViscoelastic equationen_US
dc.subjectWell-posednessen_US
dc.titleWell-posedness and stability for a viscoelastic Petrovsky equation with a localized nonlinear dampingen_US
dc.typeArticleen_US

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