REGULARITY FOR QUASI-LINEAR 2ND-ORDER SUBELLIPTIC EQUATIONS

被引：75

作者：

XU, CJ ^{[1
]}

机构：

[1] WUHAN UNIV,WUHAN,PEOPLES R CHINA

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1992年 / 45卷 / 01期

关键词：

D O I：

10.1002/cpa.3160450104

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the regularity of solutions of the quasilinear equation [GRAPHICS] where X = (X1, ..., X(m)) is a system of real smooth vector fields, A(ij), B is-an-element-of C infinity (OMEGA x R(m) + 1). Assume that X satisfies the Hormander condition and (A(ij)(x,z,xi)) is positive definite. We prove that if u is-an-element-of S2,alpha (OMEGA) (see Section 2) is a solution of the above equation, then u is-an-element-of C infinity (OMEGA).

引用

页码：77 / 96

页数：20

共 12 条

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[2]

Ladyzhenskaya O. A., 1968, LINEAR QUASILINEAR E

[3]

OLEINIK OA, 1973, 2ND ORDER EQUATIONS

[4] HYPOELLIPTIC DIFFERENTIAL OPERATORS AND NILPOTENT GROUPS [J].