| 王珂,石志娟.一维线性波动方程耦合组的精确边界同步能观性[J].数学年刊A辑,2020,41(2):139~152 |
| 一维线性波动方程耦合组的精确边界同步能观性 |
| Exact Boundary Synchronizable Observability for a Coupled System of 1-D Linear Wave Equations |
| Received:July 15, 2019 |
| DOI：10.16205/j.cnki.cama.2020.0010 |
| 中文关键词: 精确边界同步能观性, 分组精确边界同步能观性, 分组精确边界零能观性与同步能观性, 一维波动方程耦合组 |
| 英文关键词:Exact boundary synchronizable observability, Exact boundary synchronizable observability by groups, Exact null observability and synchronizable observability by groups, Coupled system of 1-D wave equations |
| 基金项目:国家自然科学基金(No.\,11601074) |
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| 中文摘要: |
| 作者介绍了多种精确同步能观性,并对一维波动方程耦合组在多种边界条件下分别实现了精确边界同步能观性,分组精确边界同步能观性以及分组精确边界零能观性与同步能观性. |
| 英文摘要: |
| In this paper, several kinds of exact synchronizable observability are introduced. The authors show that for a coupled system of 1-D wave equations with various boundary conditions, the exact boundary synchronizable observability, the exact boundary synchronizable observability by groups and the exact boundary null observability and synchronizable observability by groups can be realized, respectively. |
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