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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.