郑州大学学报(理学版)2006,Vol.38Issue(2):13-19,7.
一类非线性发展方程的整体解的存在性及渐近性
Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Evolution Equations
摘要
Abstract
The global existence and asymptotic behavior of solutions to the initial boundary value problem for a class of nonlinear evolution equations are studied. By virtue of the Galerkin approximation scheme combined with the monotone operator method, it is proved that under rather mild conditions on nonlinear terms and initial data the above-mentioned problem admits a global weak solution which decays to zero as t→∞.关键词
存在性/渐近性/非线性发展方程/初边值问题Key words
existence/asymptotic behavior/nonlinear evolution equation/initial boundary value problem分类
数理科学引用本文复制引用
宋志华..一类非线性发展方程的整体解的存在性及渐近性[J].郑州大学学报(理学版),2006,38(2):13-19,7.基金项目
河南省教育厅科研基金资助项目,编号 2004110002. ()