References
- Cakoni F, Colton D, Haddar H. Inverse scattering theory and transmission eigenvalues. CBMS-NSF regional conference series in applied mathematics. Series number 88. Philadelphia: SIAM; 2016.
- Cakoni F, Haddar H. Transmission eigenvalues in inverse scattering theory. 2012.
- Colton D, Kress R. Inverse acoustic and electromagnetic scattering theory. Applied mathematical sciences. Vol. 93. New York: Springer Science & Business Media; 2012.
- Moskow S. Nonlinear eigenvalue approximation for compact operators. J Math Phys. 2015;56(11):113512.
- Cakoni F, Colton D, Haddar H. On the determination of dirichlet or transmission eigenvalues from far field data. Comptes Rendus Math. 2010;348(7-8):379–383.
- Kirsch A, Lechleiter A. The inside–outside duality for scattering problems by inhomogeneous media. Inverse Probl. 2013;29(10):104011.
- Giorgi G, Haddar H. Computing estimates of material properties from transmission eigenvalues. Inverse Probl. 2012;28(5):055009.
- Harris I, Cakoni F, Sun J. Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids. Inverse Probl. 2014;30(3):035016.
- Cakoni F, Moskow S. Asymptotic expansions for transmission eigenvalues formedia with small inhomogeneities. Inverse Probl. 2013;29(10):104014.
- Boujlida H, Haddar H, Khenissi M. The asymptotic of transmission eigenvalues for a domain with a thin coating. SIAM J Appl Math. 2018;78(5):2348–2369.
- Cakoni F, Harris I, Moskow S. The imaging of small perturbations in an anisotropic media. Comput Math Appl. 2017;74(11):2769–2783.
- Cakoni F, Chaulet N, Haddar H. Asymptotic analysis of the transmission eigenvalue problem for a dirichlet obstacle coated by a thin layer of non-absorbing media. IMA J Appl Math. 2014;80(4):1063–1098.
- Osborn JE. Spectral approximation for compact operators. Math Comput. 1975;29(131):712–725.
- Aslanyürek B, Haddar H, Şahintürk H. Generalized impedance boundary conditions for thin dielectric coatings with variable thickness. Wave Motion. 2011;48(7):681–700.
- Bendali A, Lemrabet K. The effect of a thin coating on the scattering of a time-harmonic wave for the helmholtz equation. SIAM J Appl Math. 1996;56(6):1664–1693.
- Dhia A, Chesnel L, Haddar H. On the use of t-coercivity to study the interior transmission eigenvalue problem. Comptes Rendus Math. 2011;349(11-12):647–651.
- Brezis H. Functional analysis, Sobolev spaces and partial differential equations. Springer Science & Business Media; 2010.
- Ambrose DM, Cakoni F, Moskow S. A perturbation problem for transmission eigenvalues. Res Math Sci. 2022;9(1):1–16.