Maximum principle and propagation for intrinsicly regular solutions of differential inequalities structured on vector fields

We prove suitable versions of the weak maximum principle and of the maximum propagation for solutions u of a differential inequality H u ⩾ 0 . Here H = ∑ i , j a i , j ( z ) Z i Z j + Z 0 is a differential operator structured on the vector fields Z j 's, whereas u belongs to an appropriate intr...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2006-10, Vol.322 (2), p.886-900
Main Authors: Bonfiglioli, Andrea, Uguzzoni, Francesco
Format: Article
Language:English
Subjects:
Exact sciences and technology
Intrinsic regularity
Mathematical analysis
Mathematics
Maximum principle
Operator theory
Ordinary differential equations
Propagation of maxima
Sciences and techniques of general use
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Summary:We prove suitable versions of the weak maximum principle and of the maximum propagation for solutions u of a differential inequality H u ⩾ 0 . Here H = ∑ i , j a i , j ( z ) Z i Z j + Z 0 is a differential operator structured on the vector fields Z j 's, whereas u belongs to an appropriate intrinsic class of regularity modelled on the Z j 's.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2005.09.067