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Uniform Estimates of the Fundamental Solution for a Family of Hypoelliptic Operators

โœ Scribed by G. Citti; M. Manfredini


Publisher
Springer Netherlands
Year
2006
Tongue
English
Weight
253 KB
Volume
25
Category
Article
ISSN
0926-2601

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We consider a hypoelliptic two-parameter diffusion. We first prove a sharp upper bound in small time (s, t) ยฅ [0, 1] 2 for the L p -moments of the inverse of the Malliavin matrix of the diffusion process. Second, we establish the behaviour of 2e 2 log p s, t (x, y), as e a 0, where x is the initial