| Abstract: |
| We prove that a class of non self-adjoint second
order differential operators acting in cylinders have only
real discrete spectrum located to the right of the right most point of
the essential spectrum. We describe the essential spectrum using the
limiting properties of the potential. To track the discrete spectrum we
use spatial dynamics and bi-semigroups of linear operators to estimate
the decay rate of eigenfunctions associated to isolated eigenvalues. |
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