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Dirichlet eigenvalues in a narrow strip

Solomyak, M (Weizmann Institute of Science)
Thursday 12 April 2007, 15:30-16:30

Seminar Room 1, Newton Institute


We study the Dirichlet Laplacian. We also show that convergence of eigenvalues here is a consequence of some ‘generalized’ version of the convergence in norm of the resolvents. A modificaton of the standard resolvent convergence is necessary, since the operators ?e for different ?, as well as the operator H, act in different spaces.




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