Regularity near the initial state in the obstacle problem for a class of hypoelliptic ultraparabolic operators

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:249

Article

Nystrom, Kaj²  Pascucci, Andrea¹  Polidoro, Sergio³ 

[1] Univ Bologna, Dipartmento Matemat, I-40126 Bologna, Italy

[2] Umea Univ, Dept Math, S-90187 Umea, Sweden

[3] Univ Modena & Reggio Emilia, Dipartimento Matemat Pura & Applicata, I-41100 Modena, Italy

关键词: Operator of Kolmogorov type;    Obstacle problem;    Hypoelliptic;    Regularity;    Blow-up;    Initial state;   

DOI  :  10.1016/j.jde.2010.05.020

来源: Elsevier

【 摘 要 】

This paper is devoted to a proof of regularity, near the initial state, for solutions to the Cauchy-Dirichlet and obstacle problem for a class of second order differential operators of Kolmogorov type. The approach used here is general enough to allow us to consider smooth obstacles as well as non-smooth obstacles. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free