Inverse Problems for Fractional Partial Differential Equations

Abstract: Fractional derivatives and powers of operators have been a well-studied topic over the last decade — and for good reason. Not only is there interesting mathematics involved but a myriad of applications have shown that such operators have definitely left any curiousity-level label. Also, many inverse problems for PDE are characterised by the fact that their solution is often highly ill-posed. In this talk we shall look at several inverse problems involving both classical derivatives and some of their fractional counterparts. The recurring question, which will come with some answers, is whether these two paradigms give similar uniqueness results and if the levels of ill-posedness are the same and, of course, why this should be so.

Mathematics

Audience: researchers in the topic

International Zoom Inverse Problems Seminar, UC Irvine