SUB-SOLUTIONS AND MEAN-VALUE OPERATORS FOR ULTRAPARABOLIC EQUATIONS ON LIE GROUPS

SUB-SOLUTIONS AND MEAN-VALUE OPERATORS FOR ULTRAPARABOLIC EQUATIONS ON LIE GROUPS

The aim of this paper is to provide a theory of sub-solutions for a class of hypoelliptic ultraparabolic operators L, by using mean-value operators on the level sets of the fundamental solution of L.

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Veröffentlicht in:Mathematica scandinavica 2007-01, Vol.101 (1), p.83-103
1. Verfasser: CINTI, CHIARA
Format: Artikel
Sprache:eng
Schlagworte:
Lie groups
Mathematical functions
Mathematical inequalities
Mathematical theorems
Mathematics
Potential theory
Radon
Vector fields
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Beschreibung
Zusammenfassung:The aim of this paper is to provide a theory of sub-solutions for a class of hypoelliptic ultraparabolic operators L, by using mean-value operators on the level sets of the fundamental solution of L.
ISSN:0025-5521
1903-1807
DOI:10.7146/math.scand.a-15033