Partial differential equations. -- Gaussian estimates for hypoelliptic operators via optimal control
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Partial differential equations. — Gaussian estimates for hypoelliptic operators via optimal control, by UGO BOSCAIN and SERGIO POLIDORO, communicated on 11 May 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.
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تاریخ انتشار 2007