| 李春秋,赵才地,王玮明.非自治耗散Schr\"odinger-Boussinesq
方程组紧致核截面的存在性$^$[J].数学年刊A辑,2014,35(3):307~322 |
| 非自治耗散Schr\"odinger-Boussinesq
方程组紧致核截面的存在性$^$ |
| Existence of Compact Kernel Sections for Non-autonomous Dissipative Schr¨odinger-Boussinesq Equations |
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| DOI： |
| 中文关键词: 非自治 Schr\"odinger-Boussinesq
方程组, 核截面, 一致渐近紧 |
| 英文关键词:Non-autonomous Schr\"odinger-Boussinesq
equations, Kernel section, Uniformly asymptotic compactness |
| 基金项目:国家自然科学基金 (No.11271290, No.10901121)和浙江省自然
科学基金(No.Y6080077, No.LY12A01014) |
| Author Name | Affiliation | E-mail | | LI Chunqiu | Department of Mathematics and Information Science, Wenzhou
University,
Wenzhou 325035, Zhejiang, China. | lichunqiu726@163.com | | ZHAO Caidi | Department of Mathematics and Information Science, Wenzhou
University,
Wenzhou 325035, Zhejiang, China. | weimingwang2003@163.com | | WANG Weiming | Corresponding author. Department of Mathematics and Information Science, Wenzhou
University, Wenzhou 325035, Zhejiang, China. | zhaocaidi@aliyun.com |
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| 中文摘要: |
| 讨论满足齐次Dirichlet边界条件的非自治耗散Schr\"odinger-Boussinesq
方程组解的长时间行为. 通过
对方程作适当的分解, 证明了方程组所生成的过程存在紧致核截面. |
| 英文摘要: |
| This paper deals with the long time behavior of
solutions to non-autonomous dissipative
Schr\"odinger-Boussinesq equations with homogeneous Dirichlet
boundary condition. The authors prove the existence of compact
kernel sections for the generated process by using a suitable
decomposition of equations. |
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