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 valuefunction of a suitable optimal control problem.
Gaussian estimates for hypoelliptic operators via optimal control / Ugo, Boscain; Polidoro, Sergio. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1720-0768. - STAMPA. - 18:4(2007), pp. 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 valuefunction of a suitable optimal control problem.
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