Boundary perturbation of the Laplace eigenvalues and applications to electron bubbles and polygons
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2003. === Includes bibliographical references (p. 89-91). === We analyze the evolution of Laplace eigenvalues on a domain induced by the motion of the boundary. We apply our analysis to two problems: 1. We study the equili...
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| Format: | Others |
| Language: | English |
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Massachusetts Institute of Technology
2005
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| Online Access: | http://hdl.handle.net/1721.1/29345 |