Functional Analysis, Linear Structures and Applications Seminar   RSS

22/12/2015, 10:30 — 11:30 — Room P3.10, Mathematics Building
Yuri Karlovich, Universidad Autónoma del Estado de Morelos, Cuernavaca, México

Mellin PDO's and the Haseman boundary value problem

A Fredholm theory for Mellin pseudodifferential operators with matrix symbols of limited smoothness is constructed. Applying these results, we study the Haseman boundary value problem with slowly oscillating coefficients and slowly oscillating shifts on Lebesgue spaces over contours composed by logarithmic spirals. A Fredholm criterion and an index formula for the associated singular integral operator with a shift are obtained.

Current organizers: Helena Mascarenhas, Ângela Mestre.