Regularity for quasilinear second‐order subelliptic equations
Author:
- 1 January 1992
- journal article
- research article
- Published by Wiley in Communications on Pure and Applied Mathematics
- Vol. 45 (1) , 77-96
Abstract
In this paper, we study the regularity of solutions of the quasilinear equation where X = (X1,…,Xm) is a system of real smooth vector fields, Aij, B ϵ C∞(Ω × ℝ Rm+1). Assume that X satisfies the Hörmander condition and (Aij(x, z,ζ)) is positive definite. We prove that if u ϵ S2,α(Ω) (see Section 2) is a solution of the above equation, then u ϵ C∞ (Ω).Keywords
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