High Order Fefferman-Phong Type Inequalities in Carnot Groups and Regularity for Degenerate Elliptic Operators plus a Potential

Pengcheng Niu and Kelei Zhang

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

Let be the basis of space of horizontal vector fields in a Carnot group . We prove high order Fefferman-Phong type inequalities in . As applications, we derive a priori estimates for the nondivergence degenerate elliptic operators with coefficients and a potential belonging to an appropriate Stummel type class introduced in this paper. Some of our results are also new even for the usual Euclidean space.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:274859

DOI: 10.1155/2014/274859

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