Homogenization and Two-Scale Convergence, SIAM Journal on Mathematical Analysis, vol.23, issue.6, pp.1482-1518, 1992. ,
DOI : 10.1137/0523084
URL : https://hal.archives-ouvertes.fr/hal-01111805
Shape Optimization by the Homogenization Method, 2002. ,
Asymptotic Analysis for Periodic Structures, 1978. ,
Corners Always Scatter, Communications in Mathematical Physics, vol.108, issue.1, 2014. ,
DOI : 10.1007/s00220-014-2030-0
On the use of t-coercivity to study the interior transmission eigenvalue problem, C. R. Acad. Sci., Ser. I, vol.340, pp.647-651, 2011. ,
Qualitative Approach to Inverse Scattering Theory, 2014. ,
DOI : 10.1007/978-1-4614-8827-9
On the determination of Dirichlet or transmission eigenvalues from far field data, Comptes Rendus Mathematique, vol.348, issue.7-8, pp.379-383, 2010. ,
DOI : 10.1016/j.crma.2010.02.003
URL : https://hal.archives-ouvertes.fr/hal-00739142
The Interior Transmission Eigenvalue Problem, SIAM Journal on Mathematical Analysis, vol.42, issue.6, pp.2912-2921, 2010. ,
DOI : 10.1137/100793542
URL : https://hal.archives-ouvertes.fr/hal-00741619
The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data, Journal of Integral Equations and Applications, vol.21, issue.2, pp.203-227, 2008. ,
DOI : 10.1216/JIE-2009-21-2-203
URL : https://hal.archives-ouvertes.fr/hal-00743819
The linear sampling method for anisotropic media, Journal of Computational and Applied Mathematics, vol.146, issue.2, pp.285-299, 2002. ,
DOI : 10.1016/S0377-0427(02)00361-8
URL : https://hal.archives-ouvertes.fr/hal-00744175
The interior transmission problem for regions with cavities SIAM, J. Math. Analysis, vol.42, issue.1, pp.145-162, 2010. ,
The inverse electromagnetic scattering problem for anisotropic media, Inverse Problems, vol.26, issue.7, p.74004, 2010. ,
DOI : 10.1088/0266-5611/26/7/074004
The Existence of an Infinite Discrete Set of Transmission Eigenvalues, SIAM Journal on Mathematical Analysis, vol.42, issue.1, pp.237-255, 2010. ,
DOI : 10.1137/090769338
URL : https://hal.archives-ouvertes.fr/hal-00739145
Transmission eigenvalues in inverse scattering theory Inverse Problems and Applications, Inside Out 60 ,
Interior transmission problem for anisotropic media. in Mathematical and Numerical Aspects of Wave Propagation, pp.613-618, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00744153
On the existence of transmission eigenvalues in an inhomogeneous medium, Applicable Analysis, vol.144, issue.4, pp.475-493, 2009. ,
DOI : 10.1137/070697525
URL : https://hal.archives-ouvertes.fr/inria-00347840
On the interior transmission eigenvalue problem, International Journal of Computing Science and Mathematics, vol.3, issue.1/2, pp.142-167, 2010. ,
DOI : 10.1504/IJCSM.2010.033932
Valeurs propres de transmission et leur utilisation dans l'identification d'inclusions à partir de mesures électromagnètiques, 2011. ,
Computing estimates on material properties from transmission eigenvalues, Inverse Problems, vol.28, p.55009, 2012. ,
Non-destructive testing of anisotropic materials ,
Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids, Inverse Problems, vol.30, issue.3 ,
DOI : 10.1088/0266-5611/30/3/035016
Estimates of eigenvalues and eigenfunctions in periodic homogenization, Journal of the European Mathematical Society, vol.15, issue.5, 1901. ,
DOI : 10.4171/JEMS/408
Convergence Rates in L 2 for Elliptic Homogenization Problems, Archive for Rational Mechanics and Analysis, vol.75, issue.1, pp.1009-1036, 2012. ,
DOI : 10.1007/s00205-011-0469-0
URL : http://arxiv.org/abs/1103.0023
Homogenization of elliptic systems with Neumann boundary conditions, Journal of the American Mathematical Society, vol.26, issue.4, pp.901-937, 2013. ,
DOI : 10.1090/S0894-0347-2013-00769-9
Homogenization of elliptic eigenvalue problems: Part 1, Applied Mathematics & Optimization, vol.14, issue.S??rie A, pp.153-167, 1979. ,
DOI : 10.1007/BF01442551
Homogenization of elliptic eigenvalue problems: Part 2, Applied Mathematics & Optimization, vol.14, issue.S??rie A, pp.197-216, 1979. ,
DOI : 10.1007/BF01442554
The inside???outside duality for scattering problems by inhomogeneous media, Inverse Problems, vol.29, issue.10, p.104011, 2013. ,
DOI : 10.1088/0266-5611/29/10/104011
Ellipticity in the Interior Transmission Problem in Anisotropic Media, SIAM Journal on Mathematical Analysis, vol.44, issue.2, pp.1165-1174, 2012. ,
DOI : 10.1137/11084738X
Remarks on interior transmission eigenvalues, Weyl formula and branching billiards, Journal of Physics A: Mathematical and Theoretical, vol.45, issue.12, p.125202, 2012. ,
DOI : 10.1088/1751-8113/45/12/125202
First-order corrections to the homogenized eigenvalues of periodic composite material. A convergence proof, Proc. Roy. Soc. Edinburgh Sect. A, pp.1263-1299, 1997. ,
First-order corrections to the homogenized eigenvalues of periodic composite material. The case of Neumann boundary conditions, 1997. ,
Spectral analysis of the interior transmission eigenvalue problem, Inverse Problems, vol.29, issue.10, 2013. ,
DOI : 10.1088/0266-5611/29/10/104001
First-Order Corrections to the Homogenized Eigenvalues of a Periodic Composite Medium, SIAM Journal on Applied Mathematics, vol.53, issue.6, pp.1636-1668, 1993. ,
DOI : 10.1137/0153076
Iterative Methods for Transmission Eigenvalues, SIAM Journal on Numerical Analysis, vol.49, issue.5, pp.1860-1874, 2011. ,
DOI : 10.1137/100785478
Computation of Maxwell???s transmission eigenvalues and its applications in inverse medium problems, Inverse Problems, vol.29, issue.10, p.104013, 2013. ,
DOI : 10.1088/0266-5611/29/10/104013
On the second-order homogenization of wave motion in periodic media and the sound of a chessboard, Journal of the Mechanics and Physics of Solids, vol.78 ,
DOI : 10.1016/j.jmps.2015.03.001
Received for publication E-mail address: cakoni@math, 1992. ,