Parabolic equations with the second-order Cauchy conditions on the boundary
The paper studies some ill-posed boundary value problems on semi-plane for parabolic equations with the homogenous Cauchy condition at initial time and with the second-order Cauchy condition on the boundary of the semi-plane. A class of inputs that allows some regularity is suggested and described e...
| Main Author: | |
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| Format: | Journal Article |
| Published: |
IOP Publishing
2007
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| Online Access: | http://hdl.handle.net/20.500.11937/29626 |
| _version_ | 1848752855237787648 |
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| author | Dokuchaev, Nikolai |
| author_facet | Dokuchaev, Nikolai |
| author_sort | Dokuchaev, Nikolai |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The paper studies some ill-posed boundary value problems on semi-plane for parabolic equations with the homogenous Cauchy condition at initial time and with the second-order Cauchy condition on the boundary of the semi-plane. A class of inputs that allows some regularity is suggested and described explicitly in the frequency domain. This class is everywhere dense in the space of square integrable functions. |
| first_indexed | 2025-11-14T08:15:15Z |
| format | Journal Article |
| id | curtin-20.500.11937-29626 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:15:15Z |
| publishDate | 2007 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-296262017-09-13T15:56:51Z Parabolic equations with the second-order Cauchy conditions on the boundary Dokuchaev, Nikolai The paper studies some ill-posed boundary value problems on semi-plane for parabolic equations with the homogenous Cauchy condition at initial time and with the second-order Cauchy condition on the boundary of the semi-plane. A class of inputs that allows some regularity is suggested and described explicitly in the frequency domain. This class is everywhere dense in the space of square integrable functions. 2007 Journal Article http://hdl.handle.net/20.500.11937/29626 10.1088/1751-8113/40/41/010 IOP Publishing fulltext |
| spellingShingle | Dokuchaev, Nikolai Parabolic equations with the second-order Cauchy conditions on the boundary |
| title | Parabolic equations with the second-order Cauchy conditions on the boundary |
| title_full | Parabolic equations with the second-order Cauchy conditions on the boundary |
| title_fullStr | Parabolic equations with the second-order Cauchy conditions on the boundary |
| title_full_unstemmed | Parabolic equations with the second-order Cauchy conditions on the boundary |
| title_short | Parabolic equations with the second-order Cauchy conditions on the boundary |
| title_sort | parabolic equations with the second-order cauchy conditions on the boundary |
| url | http://hdl.handle.net/20.500.11937/29626 |