jRegularity for QuasilinearSecond Order Subelliptic Equations i CHAO JIANG XU

John Wiley

Description

jRegularity for QuasilinearSecond-Order Subelliptic Equations i ' CHAO-JIANG XU Courant lnstitute and i ~ Wuhan University 1 ~ , Abstract ln this paper, we study the regularity of solutions of the quasilinear equation 1 m LAjj(x,u,xu)XjXjU +B(x,u,Xu) = 0 jj=i where X = (Xi,...,Xm) is a system of real smooth vector fields, Ajj,B E COO(O x Rm+l). Assume that X satisfies the Hôrmander condition and (Ajj(x, z,ç)) is positive definite. We prove that if u E s2,a(o) (see Section 2) is a solution of the above equation, then u E COO(O). .. Introduction 1~ ln this work, we study the regularity of solutions of the following quasi- i linear second-order degenerate elliptic equation: m (*) LAij(X,U,XU)XiXju+B(x,u,Xu) =0 ij=1 where X = (X1,...,Xm) is a system of real smooth vector fields defined in an open domain M of Rn, n ~ 3, and Aij,B E C(.Q x Rm+I), i,j = l,..., m.

• can differentiate


• quasilinear subelliptic


• differential operator


• sec- tion


• hôrmander condition


• distance p3


• chao-jiang xu


• small compact


• linearly independent


• vxo'

Sujets

• Wuhan University
• Differential operator
• Linear independence
• cours

Informations

• Publié par: pefav
• Nombre de lectures: 16
• Langue: English
• Poids de l'ouvrage: 1 Mo

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