On prescribed change of profile for solutions of parabolicequations
| dc.contributor.author | Dokuchaev, Nikolai | |
| dc.date.accessioned | 2017-01-30T15:26:19Z | |
| dc.date.available | 2017-01-30T15:26:19Z | |
| dc.date.created | 2011-05-09T20:01:28Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | Dokuchaev, Nikolai. 2011. On prescribed change of profile for solutions of parabolic equations. Journal of Physics A: Mathematical and Theoretical. 44 (225204). | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/46307 | |
| dc.identifier.doi | 10.1088/1751-8113/44/22/225204 | |
| dc.description.abstract |
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. | |
| dc.publisher | IOP Publishing | |
| dc.subject | parabolic equations | |
| dc.subject | absorption | |
| dc.subject | diffusion | |
| dc.subject | ill-posed problems | |
| dc.subject | Maximum Principle | |
| dc.title | On prescribed change of profile for solutions of parabolicequations | |
| dc.type | Journal Article | |
| dcterms.source.volume | 44 | |
| dcterms.source.issn | 17518113 | |
| dcterms.source.title | Journal of Physics A: Mathematical and Theoretical | |
| curtin.note |
© 2011 IOP Institute of Physics | |
| curtin.department | Department of Mathematics and Statistics | |
| curtin.accessStatus | Open access |