Quantitative unique continuation for the linear coupled heat equations
Abstract In this paper, we established a quantitative unique continuation results for a coupled heat equations, with the homogeneous Dirichlet boundary condition, on a bounded convex domain Ω of R d $\mathbb{R}^{d}$ with smooth boundary ∂Ω. Our result shows that the value of the solutions can be det...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-09-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1508-7 |
| _version_ | 1811211638590668800 |
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| author | Guojie Zheng Keqiang Li Jun Li |
| author_facet | Guojie Zheng Keqiang Li Jun Li |
| author_sort | Guojie Zheng |
| collection | DOAJ |
| description | Abstract In this paper, we established a quantitative unique continuation results for a coupled heat equations, with the homogeneous Dirichlet boundary condition, on a bounded convex domain Ω of R d $\mathbb{R}^{d}$ with smooth boundary ∂Ω. Our result shows that the value of the solutions can be determined uniquely by its value on an arbitrary open subset ω of Ω at any given positive time T. |
| first_indexed | 2024-04-12T05:16:16Z |
| format | Article |
| id | doaj.art-ac850e8740e64d21b0e2a3b7118461a8 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-12T05:16:16Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-ac850e8740e64d21b0e2a3b7118461a82022-12-22T03:46:37ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-09-012017111710.1186/s13660-017-1508-7Quantitative unique continuation for the linear coupled heat equationsGuojie Zheng0Keqiang Li1Jun Li2College of Mathematics and Information Science, Henan Normal UniversityCollege of Mathematics and Information Science, Henan Normal UniversityCollege of Mathematics and Information Science, Henan Normal UniversityAbstract In this paper, we established a quantitative unique continuation results for a coupled heat equations, with the homogeneous Dirichlet boundary condition, on a bounded convex domain Ω of R d $\mathbb{R}^{d}$ with smooth boundary ∂Ω. Our result shows that the value of the solutions can be determined uniquely by its value on an arbitrary open subset ω of Ω at any given positive time T.http://link.springer.com/article/10.1186/s13660-017-1508-7coupled heat equationsunique continuationfrequency functions |
| spellingShingle | Guojie Zheng Keqiang Li Jun Li Quantitative unique continuation for the linear coupled heat equations Journal of Inequalities and Applications coupled heat equations unique continuation frequency functions |
| title | Quantitative unique continuation for the linear coupled heat equations |
| title_full | Quantitative unique continuation for the linear coupled heat equations |
| title_fullStr | Quantitative unique continuation for the linear coupled heat equations |
| title_full_unstemmed | Quantitative unique continuation for the linear coupled heat equations |
| title_short | Quantitative unique continuation for the linear coupled heat equations |
| title_sort | quantitative unique continuation for the linear coupled heat equations |
| topic | coupled heat equations unique continuation frequency functions |
| url | http://link.springer.com/article/10.1186/s13660-017-1508-7 |
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