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A local maximum principle for locally integrable structures

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Author list: Daghighi, Abtin

Publication year: 2017

ISSN: 0219-1997

DOI: http://dx.doi.org/10.1142/S0219199715500911

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Abstract

Let Omega subset of R-N be an open subset, for a positive integer N, and let L subset of C circle times T Omega be a C-infinity -smooth locally integrable subbundle. We give a proof of the following result: If (Omega, L) is nowhere strictly hypoanalytically pseudoconvex (as defined in the paper) then for any sufficiently small domain omega (sic) Omega, and any f C-0(omega) which is continuous up to the boundary such that f is a solution with respect to L on., it holds true that max(z is an element of partial derivative omega) |f(z)| = max(z is an element of(omega) over bar) |f(z)|. We also point out a relation to Levi curvature.

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