Partial regularity for degenerate subelliptic systems associated with Hörmander’s vector fields

✍ Scribed by Dan Gao; Pengcheng Niu; Jialin Wang

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 394 KB
• Volume: 73
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2010.07.001

✦ Synopsis

The paper is devoted to partial Hölder estimates for weak solutions of a class of degenerate subelliptic systems constructed by Hörmander's vector fields. Assumptions on the systems are that coefficient matrix satisfies VMO condition in the sense of Carnot-Carathéodory distance in variables x for fixed u, and lower order terms satisfy the natural growth condition and the controllable growth condition, respectively.