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Hypoelliptic systems connected with Newton's polyhedron
Author(s) -
Bouzar Chikh,
Volevich Leonid
Publication year - 2004
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310193
Subject(s) - hypoelliptic operator , mathematics , polyhedron , variable (mathematics) , class (philosophy) , differential (mechanical device) , pure mathematics , differential operator , mathematical analysis , semi elliptic operator , combinatorics , computer science , artificial intelligence , engineering , aerospace engineering
We introduce a general class of hypoelliptic systems of partial differential operators with variable coefficients generalizing the so‐called multi‐quasi‐elliptic differential operators. We study the regularity of solutions of these systems. More complete results are obtained in the case of two independent variables. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)