Dirichlet eigenvalues in a narrow strip
Seminar Room 1, Newton Institute
AbstractWe 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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