References
- Cakoni F, Colton D, Haddar H. Inverse scattering theory and transmission eigenvalues. Philadelphia: SIAM; 2016. (CBMS Series; 88).
- Bondarenko O, Liu X. The factorization method for inverse obstacle scattering with conductive boundary condition. Inverse Probl. 2013;29:095021.
- Cakoni F, Colton D, Haddar H. On the determination of Dirichlet or transmission eigenvalues from far field data. C R Acad Sci Paris. 2010;348:379–383.
- Harris I, Cakoni F, Sun J. Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids. Inverse Probl. 2014;30:035016.
- Kirsch A, Lechleiter A. The inside-outside duality for scattering problems by inhomogeneous media. Inverse Probl. 2013;29:104011.
- Sun J. Estimation of transmission eigenvalues and the index of refraction from Cauchy data. Inverse Probl. 2011;27:015009.
- Bondarenko O, Harris I, Kleefeld A. The interior transmission eigenvalue problem for an inhomogeneous media with a conductive boundary. Appl Anal. 2017;96(1):2–22.
- Harris I, Kleefeld A. The inverse scattering problem for a conductive boundary condition and transmission eigenvalues. Appl Anal. 2020;99(3):508–529.
- Kac M. Can one hear the shape of a drum?. American Mathematical Monthly. 1966;73(4, part 2):1–23.
- Hao Y. Electromagnetic interior transmission eigenvalue problem for an inhomogeneous medium with a conductive boundary. Commun Pure Appl Anal. 2020;19(3):1387–1397.
- Harris I. Analysis of two transmission eigenvalue problems with a coated boundary condition. Appl Anal.doi: https://doi.org/10.1080/00036811.2019.1672869
- Colton D, Monk P, Sun J. Analytical and computational methods for transmission eigenvalues. Inverse Probl. 2010;26:045011.
- Cakoni F, Gintides D, Haddar H. The existence of an infinite discrete set of transmission eigenvalues. SIAM J Math Anal. 2010;42(1):237–255.
- Cakoni F, Colton D, Haddar H. The interior transmission problem for regions with cavities. SIAM J Math Anal. 2010;42(1):145–162.
- Kleefeld A, Pieronek L. The method of fundamental solutions for computing acoustic interior transmission eigenvalues. Inverse Probl. 2018;34:035007.
- Kleefeld A. A numerical method to compute interior transmission eigenvalues. Inverse Probl. 2013;29:104012.
- Cakoni F, Kress R. A boundary integral equation method for the transmission eigenvalue problem. Applicable Anal. 96(2017):23–38.
- Bonnet-Ben Dhia A-S, Chesnel L, Haddar H. On the use of T-coercivity to study the interior transmission eigenvalue problem. C R Acad Sci Paris, Ser I. 2011;349:11–14. 647–651.
- Chesnel L. Interior transmission eigenvalue problem for Maxwell's equations: the T-coercivity as an alternative approach. Inverse Probl. 2012;28:065005.
- Chesnel L. Bilaplacian problems with a sign-changing coefficient. Math Meth Appl Sci. 2016;39:4964–4979.
- Evans L. Partial differential equations. 2nd ed. Providence: AMS; 2010.
- Beyn W-J. An integral method for solving non-linear eigenvalue problems. Linear Algebra Appl. 2012;436:3839–3863.
- Kleefeld A, Chu-Lin T. Boundary element collocation method for solving the exterior Neumann problem for Helmholtz's equation in three dimensions. Electronic Trans Numer Anal. 2012;39:113–143.
- Kleefeld A. Numerical methods for acoustic and electromagnetic scattering: Transmission boundary-value problems, interior transmission eigenvalues, and the factorization method, Habilitation Thesis, 2015.
- Cossonnière A. Valeurs propres de transmission et leur utilisation dans l'identification d'inclusions à partir de mesures électromagnétiques, PhD Thesis, Université Toulouse; 2011.