摘要
本文讨论与Caffarelli-Kohn-Nirenberg不等式相关的一类高阶双曲方程.在适当条件下,构造合适的检验函数并予以估计从而证明这类方程非平凡上解的不存在性.
In this paper we consider the nonlinear higher-order evolution equation related to Caffarelli-Kohn-Nirenberg inequality.Under some proper conditions we prove the nonexistence of nontrivial supersolution of this equation by constructing appropriate test function and establishing their estimates.
出处
《应用数学》
CSCD
北大核心
2010年第1期145-149,共5页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(10871157)
Keji Chuangxin Jijin of Northwestern Polytechnical University(2008KJ02033)
关键词
上解
高阶双曲方程
检验函数
Supersolution
Higher-order evolution equation
Test function
