|
个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
学科：基础数学
办公地点：创新园大厦 A1032
电子邮箱：snzheng@dlut.edu.cn
Fujita-Liouville Type Theorem for Coupled Fourth-Order Parabolic Inequalities
点击次数：
论文类型：期刊论文
发表时间：2012-01-01
发表刊物：CHINESE ANNALS OF MATHEMATICS SERIES B
收录刊物：SCIE、ISTIC
卷号：33
期号：1
页面范围：107-112
ISSN号：0252-9599
关键字：Fujita exponent; Liouville type theorem; Higher-order parabolic inequalities; Test function method
摘要：This paper deals with a coupled system of fourth-order parabolic inequalities |u|(t) >= -Delta(2)u + |v|(q), |v|(t) >= -Delta(2)v + |u|(p) in S = R-n x R+ with p, q > 1, n >= 1. A Fujita-Liouville type theorem is established that the inequality system does not admit nontrivial nonnegative global solutions on S whenever n/4 <= max(p+1/pq-1, q+1/pq-1). Since the general maximum-comparison principle does not hold for the fourth-order problem, the authors use the test function method to get the global non-existence of nontrivial solutions.