On prescribed change of profile for solutions of parabolicequations
Parabolic equations with homogeneous Dirichlet conditions on the boundary are studied in a setting where the solutions are required to have a prescribed change of the profile in fixed time, instead of a Cauchy condition. It is shown that this problem is well-posed in L2-setting. Existence and regula...
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| Format: | Journal Article |
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IOP Publishing
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/46307 |
| _version_ | 1848757521505845248 |
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| author | Dokuchaev, Nikolai |
| author_facet | Dokuchaev, Nikolai |
| author_sort | Dokuchaev, Nikolai |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Parabolic equations with homogeneous Dirichlet conditions on the boundary are studied in a setting where the solutions are required to have a prescribed change of the profile in fixed time, instead of a Cauchy condition. It is shown that this problem is well-posed in L2-setting. Existence and regularity results are established, as well as an analog of the maximum principle. |
| first_indexed | 2025-11-14T09:29:25Z |
| format | Journal Article |
| id | curtin-20.500.11937-46307 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:29:25Z |
| publishDate | 2011 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-463072017-09-13T15:56:35Z On prescribed change of profile for solutions of parabolicequations Dokuchaev, Nikolai parabolic equations absorption diffusion ill-posed problems Maximum Principle Parabolic equations with homogeneous Dirichlet conditions on the boundary are studied in a setting where the solutions are required to have a prescribed change of the profile in fixed time, instead of a Cauchy condition. It is shown that this problem is well-posed in L2-setting. Existence and regularity results are established, as well as an analog of the maximum principle. 2011 Journal Article http://hdl.handle.net/20.500.11937/46307 10.1088/1751-8113/44/22/225204 IOP Publishing fulltext |
| spellingShingle | parabolic equations absorption diffusion ill-posed problems Maximum Principle Dokuchaev, Nikolai On prescribed change of profile for solutions of parabolicequations |
| title | On prescribed change of profile for solutions of parabolicequations |
| title_full | On prescribed change of profile for solutions of parabolicequations |
| title_fullStr | On prescribed change of profile for solutions of parabolicequations |
| title_full_unstemmed | On prescribed change of profile for solutions of parabolicequations |
| title_short | On prescribed change of profile for solutions of parabolicequations |
| title_sort | on prescribed change of profile for solutions of parabolicequations |
| topic | parabolic equations absorption diffusion ill-posed problems Maximum Principle |
| url | http://hdl.handle.net/20.500.11937/46307 |