Solvability of linear systems of PDE’s with constant coefficients

Zhou, Ding-Xuan

doi:10.1090/S0002-9939-99-04713-9

Solvability of linear systems of PDE’s with constant coefficients
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Proc. Amer. Math. Soc. 127 (1999), 2013-2017 Request permission

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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