含有n个无关变元的Mate-Nevai型非线性积分不等式  

Some Nonlinear Integral Inequalities of Mate-Nevai Type in n Independent Variables

作　　者：石红[1] 孟凡伟[1] 

机构地区：[1]曲阜师范大学数学科学学院

出　　处：《工程数学学报》2004年第4期551-555,共5页Chinese Journal of Engineering Mathematics

基　　金：山东省自然科学基金(Y2001A03)

摘　　要：讨论了Mate-Nevai型积分不等式,得到几个含有n个无关变元的Mate-Nevai型非线性积分不等式。利用所得结论讨论某些非线性偏微分方程解的有界性。Some nonlinear integral inequalities of Mate-Nevai type in n independent variables are established, which generalise the integral inequality obtained by Mate-Nevai. Using our results, the boundness of some nonlinear partial differential equations are discussed.

关 键 词：非线性 积分小等式 N个无关变元 偏微分方程 

分 类 号：O175.29[理学—数学]