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

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 نشر من قبل John Weir
 تاريخ النشر 2008
  مجال البحث
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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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