Complex vector fields, unique continuation and the maximum modulus principle

We prove unique continuation and maximum modulus principle for solutions to systems of differential equations and inequalities, involving complex vector fields, under conditions that generalize some weak-pseudoconcavity assumptions for the tangential Cauchy-Riemann complex.

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Bibliographic Details
Published in:Annali di matematica pura ed applicata 2012-12, Vol.191 (4), p.761-769
Main Authors: Hill, C. Denson, Nacinovich, Mauro
Format: Article
Language:English
Subjects:
Differential equations
Fields (mathematics)
Mathematics
Mathematics and Statistics
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Online Access:Get full text
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Description
Summary:We prove unique continuation and maximum modulus principle for solutions to systems of differential equations and inequalities, involving complex vector fields, under conditions that generalize some weak-pseudoconcavity assumptions for the tangential Cauchy-Riemann complex.
ISSN:0373-3114
1618-1891
DOI:10.1007/s10231-011-0204-3