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Diffusion on compact Riemannian manifolds and logarithmic Sobolev inequalities

โœ Scribed by O.S Rothaus


Book ID
107794863
Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
339 KB
Volume
42
Category
Article
ISSN
0022-1236

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Optimal Sobolev Inequalities of Arbitrar
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Let (M, g) be a smooth compact Riemannian N-manifold, N 2, let p # (1, N) real, and let H p 1 (M) be the Sobolev space of order p involving first derivatives of the functions. By the Sobolev embedding theorem, H p 1 (M)/L p\* (M) where p\*=Npร‚(N& p). Classically, this leads to some Sobolev inequalit