Boundary Controllability of a Pseudoparabolic Equation
We deal with the controllability problem for the pseudoparabolic equation by means of boundary controls. Due to the unusual spectrum of this kind of equations, we prove that the null controllability property is false. Furthermore, by the explicit solution, we show that the approximate controllabilit...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/483053 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850164831974326272 |
|---|---|
| author | Qiang Tao Hang Gao Zheng-an Yao |
| author_facet | Qiang Tao Hang Gao Zheng-an Yao |
| author_sort | Qiang Tao |
| collection | DOAJ |
| description | We deal with the controllability problem for the pseudoparabolic equation by means of boundary controls. Due to the unusual spectrum of this kind of equations, we prove that the null controllability property is false. Furthermore, by the explicit solution, we show that the approximate controllability holds. |
| format | Article |
| id | doaj-art-e8f6fa32b44743159dfd6650a2a5c6d4 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e8f6fa32b44743159dfd6650a2a5c6d42025-08-20T02:21:53ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/483053483053Boundary Controllability of a Pseudoparabolic EquationQiang Tao0Hang Gao1Zheng-an Yao2School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, ChinaWe deal with the controllability problem for the pseudoparabolic equation by means of boundary controls. Due to the unusual spectrum of this kind of equations, we prove that the null controllability property is false. Furthermore, by the explicit solution, we show that the approximate controllability holds.http://dx.doi.org/10.1155/2013/483053 |
| spellingShingle | Qiang Tao Hang Gao Zheng-an Yao Boundary Controllability of a Pseudoparabolic Equation Abstract and Applied Analysis |
| title | Boundary Controllability of a Pseudoparabolic Equation |
| title_full | Boundary Controllability of a Pseudoparabolic Equation |
| title_fullStr | Boundary Controllability of a Pseudoparabolic Equation |
| title_full_unstemmed | Boundary Controllability of a Pseudoparabolic Equation |
| title_short | Boundary Controllability of a Pseudoparabolic Equation |
| title_sort | boundary controllability of a pseudoparabolic equation |
| url | http://dx.doi.org/10.1155/2013/483053 |
| work_keys_str_mv | AT qiangtao boundarycontrollabilityofapseudoparabolicequation AT hanggao boundarycontrollabilityofapseudoparabolicequation AT zhenganyao boundarycontrollabilityofapseudoparabolicequation |