Convergence of eigenvalues for a highly non-self-adjoint differential operator

Details Convergence of eigenvalues for a highly non-self-adjoint differential operator Convergence of eigenvalues for a highly non-self-adjoint differential operator

2008-09-04

arxiv.org/abs/0809.0787v1

Mathematics

Spectral Theory

16 pages

Scientific paper

In this paper we study a family of operators dependent on a small parameter
$\epsilon > 0$, which arise in a problem in fluid mechanics. We show that the
spectra of these operators converge to N as $\epsilon \to 0$, even though, for
fixed $\epsilon > 0$, the eigenvalue asymptotics are quadratic.

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