We obtain Gaussian lower bounds for the fundamental solution of a class of hypoelliptic equations, by using repeatedly an invariant Harnack inequality. Our main result is given in terms of the value function of a suitable optimal control problem.
U. Boscain, S. Polidoro (2007). Gaussian estimates for hypoelliptic operators via optimal control. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 18, 333-342 [10.4171/RLM/499].
Gaussian estimates for hypoelliptic operators via optimal control
POLIDORO, SERGIO
2007
Abstract
We obtain Gaussian lower bounds for the fundamental solution of a class of hypoelliptic equations, by using repeatedly an invariant Harnack inequality. Our main result is given in terms of the value function of a suitable optimal control problem.File in questo prodotto:
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