| 一类非线性发展方程的整体解的存在性及渐近性 |
| |
| 引用本文： | 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. |
| |
| 作者姓名： | 宋志华 |
| |
| 作者单位： | 华北水利水电学院数学系,郑州,450011 |
| |
| 基金项目： | 河南省教育厅科研基金资助项目,编号2004110002. |
| |
| 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.
|
| 关 键 词： | 存在性 渐近性 非线性发展方程 初边值问题 |
| 文章编号： | 1671-6841(2006)02-0013-07 |
| 收稿时间： | 09 15 2005 12:00AM |
| 修稿时间： | 2005年9月15日 |
Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Evolution Equations |
| |
| SONG Zhi-hua.Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Evolution Equations[J].Journal of Zhengzhou University:Natural Science Edition,2006,38(2):13-19. |
| |
| Authors: | SONG Zhi-hua |
| |
| Institution: | Department of Mathematics ,North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011, China |
| |
| 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→∞. |
| |
| Keywords: | existence asymptotic behavior nonlinear evolution equation initial boundary value problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
