Vladimir Rabinovich

On Spectral Properties and Invertibility of Some Operators of Mathematical Physics

abstract:
The main aim of the paper is to study the Fredholm property, essential spectrum, and invertibility of some operators of the Mathematical Physics, such that the Schrödinger and Dirac operators with complex electric potentials, and Maxwell operators in absorbing at infinity media. This investigation is based on the limit operators method, and the uniqueness continuation property for the operators under consideration.

Mathematics Subject Classification: Primary 35J05; Secondary 35J10, 35K05, 35L05

Key words and phrases: Strongly elliptic systems, limit operators, Schrödinger, Dirac, Maxwell operators