一类高阶双曲方程非平凡上解的不存在性(英文)  

Nonexistence of Nontrivial Supersolution of Higher-order Evolution Equation

作　　者：王永忠[1] 郭千桥[1] 

机构地区：[1]西北工业大学应用数学系,陕西西安710129

出　　处：《应用数学》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)

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.

关 键 词：上解 高阶双曲方程 检验函数 

分 类 号：O175.27[理学—数学]