Asymptotic stability of wave equations with memory and frictional boundary dampings

• Autorzy: Fatiha Alabau-Boussouira
• Języki publikacji: EN

Abstrakty

EN

This work is concerned with stabilization of a wave equation by a linear boundary term combining frictional and memory damping on part of the boundary. We prove that the energy decays to zero exponentially if the kernel decays exponentially at infinity. We consider a slightly different boundary condition than the one used by M. Aassila et al. [Calc. Var. 15, 2002]. This allows us to avoid the assumption that the part of the boundary where the feedback is active is strictly star-shaped. The result is based on multiplier techniques and integral inequalities.

Kategorie tematyczne

• 93D15: Stabilization of systems by feedback
• 35B35: Stability
• 45K05: Integro-partial differential equations
• 93D20: Asymptotic stability

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2008
• Tom: 35
• Numer: 3
• Strony: 247-258

Daty

wydano

2008

Twórcy

autor

Fatiha Alabau-Boussouira

• Département de Mathématiques, Université de Metz, INRIA Projet CORIDA, Ile du Saulcy, 57045 Metz Cedex 01, France

Identyfikatory

DOI

10.4064/am35-3-1