4 citations · 4 across the 1 of their papers we have counts for
4 papers
Separation of variables in perturbed cylinders
A. Aslanyan, E. B. Davies
We study the Laplace operator subject to Dirichlet boundary conditions in a two-dimensional domain that is one-to-one mapped onto a cylinder (rectangle or infinite strip). As a res…
Bounds on complex eigenvalues and resonances
A. A. Abramov, A. Aslanyan, E. B. Davies
We obtain bounds on the complex eigenvalues of non-self-adjoint Schrödinger operators with complex potentials, and also on the complex resonances of self-adjoint Schrödinger operat…
On eigenfunction approximations for typical non-self-adjoint Schroedinger operators
A. Aslanyan, E. B. Davies
We construct efficient approximations for the eigenfunctions of non-self-adjoint Schroedinger operators in one dimension. The same ideas also apply to the study of resonances of se…
Spectral Instability for Some Schroedinger Operators
A. Aslanyan, E. B. Davies
We define the concept of instability index of an isolated eigenvalue of a non-self-adjoint operator, and prove some of its general properties. We also describe a stable procedure f…