منابع مشابه
The Transmission Eigenvalue Problem
This paper provides a survey of recent developments on the transmission eigenvalue problem.
متن کاملEigenvalue regions for positive systems
Positive systems are systems in which the state variables take only nonnegative values for all times. In this paper, we derive eigenvalue regions for discrete and continuous-time positive linear systems by resorting to the immediately available information on the values of the main diagonal entries of the system matrix. c © 2003 Elsevier B.V. All rights reserved.
متن کاملThe Interior Transmission Eigenvalue Problem
Abstract. We consider the inverse problem of determining the spherically symmetric index of refraction n(r) from a knowledge of the corresponding transmission eigenvalues (which can be determined from field pattern of the scattered wave). We also show that for constant index of refraction n(r) = n, the smallest transmission eigenvalue suffices to determine n, complex eigenvalues exist for n suf...
متن کاملInterior Transmission Eigenvalue Problem and T-coercivity
We study the so-called interior transmission problem using the T-coercivity approach. In particular, we prove that this problem, which appears when one is interested in the reconstruction of the support of an inclusion embedded in a homogeneous medium, is of Fredholm type and that so-called transmission eigenvalues form at most a discrete set. The simple technique we propose allows to treat cas...
متن کاملOn the interior transmission eigenvalue problem
We consider the transmission eigenvalue problem corresponding to the scattering problem for anisotropic media for both the scalar Helmholtz equation and Maxwell’s equations in the case when the contrast in the scattering media occurs in two independent functions. We prove the existence of an infinite discrete set of transmission eigenvalues provided that the two contrasts are of opposite signs....
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2015
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-015-2311-2