Spectral theory of elliptic differential operators with indefinite weights
Spectral theory of elliptic differential operators with indefinite weights
The spectral properties of a class of non-self-adjoint second-order elliptic operators with indefinite weight functions on unbounded domains Ω are investigated. It is shown, under an abstract regularity assumption, that the non-real spectrum of the associated elliptic operators in L 2 (Ω) is bounded. In the special case where Ω …