Semilinear hypoelliptic differential operators with multiple characteristics

Tri, Nguyen

doi:10.1090/S0002-9947-08-04443-7

Semilinear hypoelliptic differential operators with multiple characteristics
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by Nguyen Minh Tri PDF

Trans. Amer. Math. Soc. 360 (2008), 3875-3907 Request permission

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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