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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Solvability of linear systems of PDE's
with constant coefficients


Author: Ding-Xuan Zhou
Journal: Proc. Amer. Math. Soc. 127 (1999), 2013-2017
MSC (1991): Primary 35A99, 41A15, 41A63
Published electronically: March 1, 1999
MathSciNet review: 1476403
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we investigate the solvability of linear systems of partial differential equations with constant coefficients in a field of positive characteristic. In particular, we prove that consistence and compatibility are equivalent, which answers a question of Ehrenpreis and extends a result of Jia. The problem of uniqueness is also considered.


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Additional Information

Ding-Xuan Zhou
Affiliation: Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong
Email: mazhou@math.cityu.edu.hk

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04713-9
PII: S 0002-9939(99)04713-9
Keywords: Linear systems of partial differential equations, positive characteristic, consistence, compatibility
Received by editor(s): October 25, 1995
Received by editor(s) in revised form: September 15, 1997
Published electronically: March 1, 1999
Additional Notes: The author is supported in part by Research Grants Council and City University of Hong Kong under Grants #9040281, 9030562, 7000741. This research was done while visiting the University of Alberta, Canada.
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1999 American Mathematical Society