Spectral analysis for transmission problems II

• Applicant: Professor Dr. Konstantin Pankrashkin
• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 491606144

The project will deal with the spectral analysis of transmission problems for Laplace- and Dirac-type operators. The main objective is to develop an approach based on the study of the associated boundary integral operators, especially under the loss of ellipticity and for the case of interactions concentrated on non-smooth Lipschitz surfaces. This approach will lead to a description of new spectral phenomena including new types of essential spectra and unusual asymptotic distributions of eigenvalues.

• DFG Programme: Research Grants
• International Connection: Austria, France
• Cooperation Partners: Professor Dr. Jussi Behrndt; Dr. Lucas Chesnel