Boundary stabilization of transmission problems

Details Boundary stabilization of transmission problems Boundary stabilization of transmission problems

2009-10-20

arxiv.org/abs/0910.3778v1

Mathematics

Analysis of PDEs

18 pages

Scientific paper

We study the transmission problem in bounded domains with dissipative boundary conditions. Under some natural assumptions, we prove uniform bounds of the corresponding resolvents on the real axis at high frequency, and as a consequence, we obtain free of eigenvalues regions. As an application, we get exponential decay of the energy of the solutions of the correpsonding mixed boundary value problems.

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