Stability of Solitary Waves (Workshop)
timetable:
Tue 27 May, 9:00 - 9:45, Aula Dini
documents:
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Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues
speaker: Boris Vainberg (UNC at Charlotte)abstract: We consider the interior transmission eigenvalue (ITE) problem, which arises when scattering by inhomogeneous media is studied. The ITE problem is not self-adjoint. We show that positive ITEs are observable together with plus or minus signs that are defined by the direction of motion of the corresponding eigenvalues of the scattering matrix (when the latter approach z=1). We obtain a Weyl type formula for the counting function of positive ITEs, which are taken together with ascribed signs. These are joint results with E. Lakshtanov.
timetable:
Tue 27 May, 9:00 - 9:45, Aula Dini
documents:
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