Speaker
Igor Velcic
(University of Zagreb, Faculty of Electrical Engineering and Computing)
Description
We study the spectral problems for integral operators with $L^1$ integrabile kernel with degenerate coefficients. The kernel, besides being degenerate, is becoming local as small parameter $\varepsilon$ tends to zero. We discuss the limit operator in the sense of two-scale resolvent convergence and its spectrum as well as the limiting spectra of the problems as $\varepsilon$ tends to zero, which is different than the spectrum of the limit operator. This is a joint work with Mikhail Cherdantsev and Andrey Piatnitski.
Primary author
Igor Velcic
(University of Zagreb, Faculty of Electrical Engineering and Computing)
