Local Energy Decay for the Damped Wave Equation

Kaltenbacher, B., Kaltenbacher, M., Sim, I.: A modified and stable version of a perfectly matched layer technique for the 3-d second order wave equation in time domain with

We consider the wave equation in a smooth domain subject to Dirichlet boundary conditions on one part of the boundary and dissipative boundary conditions of memory-delay type on

The energy of solutions of the scalar damped wave equation decays uniformly exponentially fast when the geometric control condition is satisfied.. A theorem of Lebeau [Leb93] gives

In order to prove high frequency estimates for the powers of the resolvent of a Schr¨ odinger operator, we can use estimates in the incoming and outgoing region (see [IK85,

We prove local and global energy decay for the asymptotically periodic damped wave equation on the Euclidean space.. Since the behavior of high frequencies is already mostly

Nous avons utilisé deux sortes d’épineux et une sorte de feuillus pour nos tests, chacun représenté par trois niveaux de la hiérarchie décrite à la section 1 : les

Local energy decay, damped wave equation, Mourre’s commutators method, non- selfadjoint operators, resolvent

Existence and asymptotic behavior of solutions for a class of quasi- linear evolution equations with non-linear damping and source terms. Exponential decay for the semilinear