TY  - JOUR
KW  - Transmission eigenvalues
KW  -  Thin layers
KW  -  Asymptotic methods
KW  -  Inverse scattering
TI  - Asymptotic analysis of the transmission eigenvalue problem for a Dirichlet obstacle coated by a thin layer of non-absorbing media
UR  - https://discovery.ucl.ac.uk/id/eprint/1414829/
AV  - public
JF  - Journal of Applied Mathematics
SN  - 1110-757X
N1  - Submitted
ID  - discovery1414829
A1  - Cakoni, F
A1  - Chaulet, N
A1  - Haddar, H
Y1  - 2014///
N2  - We consider the transmission eigenvalue problem for an impenetrable obstacle with Dirichlet boundary condition surrounded by a thin layer of non-absorbing inhomogeneous material. We derive a rigorous asymptotic expansion for the first transmission eigenvalue with respect to the thickness of the thin layer. Our convergence analysis is based on a Max-Min principle and an iterative approach which involves estimates on the corresponding eigenfunctions. We provide explicit expressions for the terms in the asymptotic expansion up to order three.
ER  -