E. Blåsten, L. Päivärinta, and J. Sylvester, Corners Always Scatter, Communications in Mathematical Physics, vol.108, issue.1, pp.725-753, 2014.
DOI : 10.1007/s00220-014-2030-0

A. Bonnet-ben, L. Dhia, and . Chesnel, Strongly oscillating singularities for the interior transmission eigenvalue problem, Inverse Problems, vol.29, p.104004, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00937690

A. Bonnet-ben-dhia, L. Chesnel, and H. Haddar, On the use of T-coercivity to study the interior transmission eigenvalue problem, Comptes Rendus Mathematique, vol.349, issue.11-12, pp.647-651, 2011.
DOI : 10.1016/j.crma.2011.05.008
URL : https://hal.archives-ouvertes.fr/hal-00742124

A. Bonnet-ben, S. A. Dhia, and . Nazarov, Obstacles in acoustic waveguides becoming ???invisible??? at given frequencies, Acoustical Physics, vol.59, issue.6, pp.633-639, 2013.
DOI : 10.1134/S1063771013050047
URL : https://hal.archives-ouvertes.fr/hal-00937689

A. Bonnet-ben-dhia, S. A. Nazarov, and J. Taskinen, Underwater topography invisible for surface waves at given frequencies, Wave Motion, vol.57, 2014.
DOI : 10.1016/j.wavemoti.2015.03.008
URL : https://hal.archives-ouvertes.fr/hal-01114632

A. L. Bukhgeim, Recovering a potential from Cauchy data in the two-dimensional case, Journal of Inverse and Ill-posed Problems, vol.16, issue.1, pp.19-33, 2008.
DOI : 10.1515/jiip.2008.002

F. Cakoni, Recent developments in the qualitative approach to inverse electromagnetic scattering theory, Journal of Computational and Applied Mathematics, vol.204, issue.2, pp.242-255, 2007.
DOI : 10.1016/j.cam.2005.12.041

F. Cakoni and D. Colton, Qualitative methods in inverse scattering theory. An introduction. Interaction of Mechanics and Mathematics, 2006.

F. Cakoni, D. Gintides, and H. Haddar, 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

F. Cakoni and H. Haddar, Transmission eigenvalues in inverse scattering theory inverse problems and applications, Inside Out 60, 2013.

G. Cardone, T. Durante, and S. A. Nazarov, The Localization Effect for Eigenfunctions of the Mixed Boundary Value Problem in a Thin Cylinder with Distorted Ends, SIAM Journal on Mathematical Analysis, vol.42, issue.6, pp.2581-2609, 2010.
DOI : 10.1137/090755680

G. Cardone, S. A. Nazarov, and K. Ruotsalainen, Asymptotic behaviour of an eigenvalue in the continuous spectrum of a narrowed waveguide, Sbornik: Mathematics, vol.203, issue.2, p.153, 2012.
DOI : 10.1070/SM2012v203n02ABEH004217

F. Collino, F. M. Barek, and H. Haddar, Numerical and analytical studies of the linear sampling method in electromagnetic inverse scattering problems, Inverse Problems, vol.19, issue.6, pp.1279-1298, 2003.
DOI : 10.1088/0266-5611/19/6/004
URL : https://hal.archives-ouvertes.fr/hal-00744159

D. Colton, H. Haddar, and M. Piana, The linear sampling method in inverse electromagnetic scattering theory, Inverse Problems, vol.19, issue.6, pp.105-137, 2003.
DOI : 10.1088/0266-5611/19/6/057
URL : https://hal.archives-ouvertes.fr/hal-00744163

D. Colton and A. Kirsch, A simple method for solving inverse scattering problems in the resonance region, Inverse Problems, vol.12, issue.4, p.383, 1996.
DOI : 10.1088/0266-5611/12/4/003

D. Colton and R. Kress, Inverse acoustic and electromagnetic scattering theory, Applied Mathematical Sciences, vol.93, 2013.
DOI : 10.1007/978-1-4614-4942-3

D. Colton and P. Monk, THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN AN INHOMOGENEOUS MEDIUM, The Quarterly Journal of Mechanics and Applied Mathematics, vol.41, issue.1, pp.97-125, 1988.
DOI : 10.1093/qjmam/41.1.97

D. Colton and P. Monk, Target Identification of Coated Objects, IEEE Transactions on Antennas and Propagation, vol.54, issue.4, pp.1232-1242, 2006.
DOI : 10.1109/TAP.2006.872564

D. Colton, M. Piana, and R. Potthast, A simple method using Morozov's discrepancy principle for solving inverse scattering problems, Inverse Problems, vol.13, issue.6, p.1477, 1997.
DOI : 10.1088/0266-5611/13/6/005

J. Elschner and G. Hu, Corners and edges always scatter, Inverse Problems, vol.31, issue.1, p.15003, 2015.
DOI : 10.1088/0266-5611/31/1/015003

E. Hille and R. S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc, vol.31, 1957.
DOI : 10.1090/coll/031

O. Yu, M. Imanuvilov, and . Yamamoto, Inverse boundary value problem for Schrödinger equation in two dimensions, SIAM J. Math. Anal, vol.44, issue.3, pp.1333-1339, 2012.

T. Kato, Perturbation Theory For Linear Operators, 1966.

A. Kirsch, The Denseness of the Far Field Patterns for the Transmission Problem, IMA Journal of Applied Mathematics, vol.37, issue.3, pp.213-225, 1986.
DOI : 10.1093/imamat/37.3.213

A. Kirsch and N. Grinberg, The factorization method for inverse problems, 2008.
DOI : 10.1093/acprof:oso/9780199213535.001.0001

E. Lakshtanov and B. Vainberg, 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

E. Lakshtanov and B. Vainberg, Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem, Inverse Problems, vol.29, issue.10, 2013.
DOI : 10.1088/0266-5611/29/10/104003

A. Lechleiter, The factorization method is independent of transmission eigenvalues, Inverse Problems and Imaging, vol.3, issue.1, pp.123-161, 2009.
DOI : 10.3934/ipi.2009.3.123
URL : https://hal.archives-ouvertes.fr/hal-00782982

V. G. Maz-'ya, S. A. Nazarov, and B. A. , Plamenevski? ?. Asymptotic theory of elliptic boundary value problems in singularly perturbed domains, Birkhäuser, vol.1, issue.2, 2000.

W. Mclean, Strongly elliptic systems and boundary integral equations, 2000.

R. Melrose, Geometric scattering theory, 1995.

A. Nachman, Reconstructions From Boundary Measurements, The Annals of Mathematics, vol.128, issue.3, pp.531-576, 1988.
DOI : 10.2307/1971435

S. A. Nazarov, Asymptotic expansions of eigenvalues in the continuous spectrum of a regularly perturbed quantum waveguide, Theoretical and Mathematical Physics, vol.81, issue.2, pp.606-627, 2011.
DOI : 10.1007/s11232-011-0046-6

S. A. Nazarov, Eigenvalues of the laplace operator with the neumann conditions at regular perturbed walls of a waveguide, Journal of Mathematical Sciences, vol.77, issue.2, pp.555-588, 2011.
DOI : 10.1007/s10958-011-0206-0

S. A. Nazarov, Trapped waves in a cranked waveguide with hard walls, Acoustical Physics, vol.57, issue.6, pp.764-771, 2011.
DOI : 10.1134/S1063771011060121

S. A. Nazarov, Enforced stability of an eigenvalue in the continuous spectrum of a waveguide with an obstacle, Computational Mathematics and Mathematical Physics, vol.52, issue.3, pp.448-464, 2012.
DOI : 10.1134/S096554251203013X

S. A. Nazarov, Enforced stability of a simple eigenvalue in the continuous spectrum of a waveguide, Functional Analysis and Its Applications, vol.40, issue.2, pp.195-209, 2013.
DOI : 10.1007/s10688-013-0026-8

L. Päivärinta, M. Salo, and E. V. Vesalainen, Strictly convex corners scatter. arXiv preprint, 2014.

L. Päivärinta and J. Sylvester, Transmission Eigenvalues, SIAM Journal on Mathematical Analysis, vol.40, issue.2, pp.738-753, 2008.
DOI : 10.1137/070697525

R. Potthast, A survey on sampling and probe methods for inverse problems, Inverse Problems, vol.22, issue.2, p.1, 2006.
DOI : 10.1088/0266-5611/22/2/R01

L. Robbiano, Spectral analysis of the interior transmission eigenvalue problem, Inverse Problems, vol.29, issue.10, p.104001, 2013.
DOI : 10.1088/0266-5611/29/10/104001

B. P. Rynne and B. D. Sleeman, The Interior Transmission Problem and Inverse Scattering from Inhomogeneous Media, SIAM Journal on Mathematical Analysis, vol.22, issue.6, p.1755, 1991.
DOI : 10.1137/0522109

J. Sylvester, Discreteness of Transmission Eigenvalues via Upper Triangular Compact Operators, SIAM Journal on Mathematical Analysis, vol.44, issue.1, pp.341-354, 2012.
DOI : 10.1137/110836420

J. Sylvester and G. Uhlmann, A Global Uniqueness Theorem for an Inverse Boundary Value Problem, The Annals of Mathematics, vol.125, issue.1, pp.153-169, 1987.
DOI : 10.2307/1971291