Dirichlet eigenvalues in a narrow strip
Duration: 1 hour 1 min 44 secs
About this item
| Description: |
Solomyak, M (Weizmann Institute of Science)
Thursday 12 April 2007, 15:30-16:30 Graph Models of Mesoscopic Systems, Wave-Guides and Nano-Structures |
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| Created: | 2008-05-19 09:25 | ||
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| Collection: | Analysis on Graphs and its Applications | ||
| Publisher: | Isaac Newton Institute | ||
| Copyright: | Solomyak, M | ||
| Language: | eng (English) | ||
| Credits: |
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| Abstract: | 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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