MAXIMUM PRINCIPLES FOR SECOND-ORDER PARABOLIC EQUATIONS

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Maximum principle ABP estimate parabolic equations.
• 年，卷（期）: 2004,（4）
• 页码范围: 289-302
• 页数: 14页
• 分类号: O175.26
• 语种: 英文

摘要

This paper is the parabolic counterpart of previous ones about elliptic operators in unbounded domains. Maximum principles for second-order linear parabolic equations are established showing a variant of the ABP-Krylov-Tso estimate, based lower bound for super-solutions due to Krylov and Safonov. The results imply the uniqueness for the Cauchy-Dirichlet problem in a large class of infinite cylindrical and non-cylindrical domains.