Insensitizing controls for a nonlinear parabolic equation with a nonlinear term involving the state and the gradient in unbounded domains
In this paper, we consider the existence of insensitizing control for a semilinear heat equation involving gradient terms in unbounded domain OO. In this case, we prove the existence of controls insensitizing the L2L2-norm of the observation of the solution in an open subset of the domain. The proof...
| Main Authors: | , , |
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| Format: | Journal Article |
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Elsevier
2009
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| Online Access: | http://hdl.handle.net/20.500.11937/4104 |
| _version_ | 1848744421443502080 |
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| author | Xu, Y. Zhang, Xinguang Liu, D. |
| author_facet | Xu, Y. Zhang, Xinguang Liu, D. |
| author_sort | Xu, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider the existence of insensitizing control for a semilinear heat equation involving gradient terms in unbounded domain OO. In this case, we prove the existence of controls insensitizing the L2L2-norm of the observation of the solution in an open subset of the domain. The proofs of the main results in this paper involve such inequalities and rely on the study of these linear problems and appropriate fixed point arguments. |
| first_indexed | 2025-11-14T06:01:12Z |
| format | Journal Article |
| id | curtin-20.500.11937-4104 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:01:12Z |
| publishDate | 2009 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-41042017-11-02T07:35:23Z Insensitizing controls for a nonlinear parabolic equation with a nonlinear term involving the state and the gradient in unbounded domains Xu, Y. Zhang, Xinguang Liu, D. Insensitizing control Unbounded domains Controllability Nonlinear gradient term In this paper, we consider the existence of insensitizing control for a semilinear heat equation involving gradient terms in unbounded domain OO. In this case, we prove the existence of controls insensitizing the L2L2-norm of the observation of the solution in an open subset of the domain. The proofs of the main results in this paper involve such inequalities and rely on the study of these linear problems and appropriate fixed point arguments. 2009 Journal Article http://hdl.handle.net/20.500.11937/4104 10.1016/j.na.2009.04.043 Elsevier restricted |
| spellingShingle | Insensitizing control Unbounded domains Controllability Nonlinear gradient term Xu, Y. Zhang, Xinguang Liu, D. Insensitizing controls for a nonlinear parabolic equation with a nonlinear term involving the state and the gradient in unbounded domains |
| title | Insensitizing controls for a nonlinear parabolic equation with a nonlinear term involving the state and the gradient in unbounded domains |
| title_full | Insensitizing controls for a nonlinear parabolic equation with a nonlinear term involving the state and the gradient in unbounded domains |
| title_fullStr | Insensitizing controls for a nonlinear parabolic equation with a nonlinear term involving the state and the gradient in unbounded domains |
| title_full_unstemmed | Insensitizing controls for a nonlinear parabolic equation with a nonlinear term involving the state and the gradient in unbounded domains |
| title_short | Insensitizing controls for a nonlinear parabolic equation with a nonlinear term involving the state and the gradient in unbounded domains |
| title_sort | insensitizing controls for a nonlinear parabolic equation with a nonlinear term involving the state and the gradient in unbounded domains |
| topic | Insensitizing control Unbounded domains Controllability Nonlinear gradient term |
| url | http://hdl.handle.net/20.500.11937/4104 |