We consider non-negative solutions (Formula presented.) of second order hypoelliptic equations(Formula presented.) where Ω is a bounded open subset of (Formula presented.) and x denotes the point of Ω. For any fixed x0 ∈ Ω, we prove a Harnack inequality of this type(Formula presented.) where K is any compact subset of the interior of the (Formula presented.)-propagation set ofx0 and the constant CK does not depend on u.
Harnack Inequality for Hypoelliptic Second Order Partial Differential Operators / Kogoj, Alessia E; Polidoro, Sergio. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - STAMPA. - 45:3(2016), pp. 545-555. [10.1007/s11118-016-9557-y]
Harnack Inequality for Hypoelliptic Second Order Partial Differential Operators
POLIDORO, Sergio
2016
Abstract
We consider non-negative solutions (Formula presented.) of second order hypoelliptic equations(Formula presented.) where Ω is a bounded open subset of (Formula presented.) and x denotes the point of Ω. For any fixed x0 ∈ Ω, we prove a Harnack inequality of this type(Formula presented.) where K is any compact subset of the interior of the (Formula presented.)-propagation set ofx0 and the constant CK does not depend on u.
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