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Generalized Hermite Spectral Method and its Applications to Problems in Unbounded Domains

โœ Scribed by Xiang, Xin-min; Wang, Zhong-qing

Book ID
118184736
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
448 KB
Volume
48
Category
Article
ISSN
0036-1429

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We characterize all domains 0 of R N such that the heat semigroup decays in L(L (0)) or L(L 1 (0)) as t ร„ . Namely, we prove that this property is equivalent to the Poincare inequality, and that it is also equivalent to the solvability of &2u= f in L (0) for all f # L (0). In particular, under mild