Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues
نویسندگان
چکیده
منابع مشابه
Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues
We consider the interior transmission eigenvalue (ITE) problem that 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 (as they approach z = 1). We obtain a Weyl type formula ...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2015
ISSN: 0036-1410,1095-7154
DOI: 10.1137/140966277