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Semilinear hypoelliptic differential operators with multiple characteristics
Author(s):
Nguyen
Minh
Tri
Journal:
Trans. Amer. Math. Soc.
360
(2008),
3875-3907.
MSC (2000):
Primary 35H10;
Secondary 35A08, 35B45, 35B65.
Posted:
February 13, 2008
MathSciNet review:
2386250
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Abstract:
In this paper we consider the regularity of solutions of semilinear differential equations principal parts of which consist of linear polynomial operators constructed from real vector fields. Based on the study of fine properties of the principal linear parts we then obtain the regularity of solutions of the nonlinear equations. Some results obtained in this article are also new in the frame of linear theory.
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Additional Information:
Nguyen
Minh
Tri
Affiliation:
Institute of Mathematics, 18 Hoang Quoc Viet Road, Cau Giay District, 10307 Hanoi, Vietnam
Address at time of publication:
Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637
Email:
triminh@math.ac.vn
DOI:
10.1090/S0002-9947-08-04443-7
PII:
S 0002-9947(08)04443-7
Keywords:
Semilinear differential equations,
a priori estimates,
maximal hypoellipticity,
polynomial operators constructed from real vector fields.
Received by editor(s):
August 15, 2006
Posted:
February 13, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
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