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一类非线性发展方程的整体解的存在性及渐近性(英文)
Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Evolution Equations
【摘要】 考虑一类非线性发展方程的初边值问题,利用Galerkin方法和单调算子方法得到了该问题整体广义解的存在性及渐近性.
【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;
【Key words】 existence; asymptotic behavior; nonlinear evolution equation; initial boundary value problem;
【基金】 河南省教育厅科研基金资助项目,编号2004110002.
- 【文献出处】 郑州大学学报(理学版) ,Journal of Zhengzhou University(Natural Science Edition) , 编辑部邮箱 ,2006年02期
- 【分类号】O175.29
- 【被引频次】2
- 【下载频次】44