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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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university of california san diego
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math 295 - mathematics colloquium
steve zelditch
northwestern university
solution of kac's problem for analytic plane domains with a symmetry
abstract:
kac's `hear the shape of a drum" problem is the extent to which a plane domain is determined by its dirichlet eigenvalues. i.e. is the map from domains to their spectra 1-1. we show that if the spectrum map is restricted to analytic plane domains with one up down symmetry (and an axis length fixed), then it is one-one. i.e. you can determine such a domain from its eigenvalues among other such domains. in joint work with hamid hezari, we also give a generalization to higher dimensions.
host: lei ni
april 15, 2010
4:00 pm
ap&m 6402
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