Displaying similar documents to “On the Uniform Decay of the Local Energy”

On the Stabilization of the Wave Equation by the Boundary

Cardoso, Fernando, Vodev, Georgi (2002)

Serdica Mathematical Journal

Similarity:

* Partially supported by CNPq (Brazil) We study the distribution of the (complex) eigenvalues for interior boundary value problems with dissipative boundary conditions in the case of C 1 -smooth boundary under some natural assumption on the behaviour of the geodesics. As a consequence we obtain energy decay estimates of the solutions of the corresponding wave equation.

Stabilization of Schrödinger equation in exterior domains

Lassaad Aloui, Moez Khenissi (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove uniform local energy estimates of solutions to the damped Schrödinger equation in exterior domains under the hypothesis of the Exterior Geometric Control. These estimates are derived from the resolvent properties.

Decay of solutions of the wave equation in the exterior of several convex bodies

Mitsuru Ikawa (1988)

Annales de l'institut Fourier

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We study the decay of solutions to the wave equation in the exterior of several strictly convex bodies. A sufficient condition for exponential decay of the local energy is expressed in terms of the period and the Poincare map of periodic rays in the exterior domain.