On recovering parabolic diffusions from their time-averages
| dc.contributor.author | Dokuchaev, Nikolai | |
| dc.date.accessioned | 2019-04-04T12:58:33Z | |
| dc.date.available | 2019-04-04T12:58:33Z | |
| dc.date.issued | 2019 | |
| dc.identifier.citation | Dokuchaev, N. 2019. On recovering parabolic diffusions from their time-averages. Calculus of Variations and Partial Differential Equations. 58: Article ID 27. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/75202 | |
| dc.identifier.doi | 10.1007/s00526-018-1464-1 | |
| dc.description.abstract |
The paper study a possibility to recover a parabolic diffusion from its time-average when the values at the initial time are unknown. This problem can be reformulated as a new boundary value problem where a Cauchy condition is replaced by a prescribed time-average of the solution. It is shown that this new problem is well-posed in certain classes of solutions. The paper establishes existence, uniqueness, and a regularity of the solution for this new problem and its modifications, including problems with singled out terminal values. | |
| dc.publisher | Springer Nature | |
| dc.title | On recovering parabolic diffusions from their time-averages | |
| dc.type | Journal Article | |
| dcterms.source.volume | 58 | |
| dcterms.source.issn | 0944-2669 | |
| dcterms.source.title | Calculus of Variations and Partial Differential Equations | |
| dc.date.updated | 2019-04-04T12:58:32Z | |
| curtin.note |
The final publication is available at Springer via http://dx.doi.org/10.1007/s00526-018-1464-1 | |
| curtin.department | School of Electrical Engineering, Computer and Mathematics Science (EECMS) | |
| curtin.accessStatus | Open access | |
| curtin.faculty | Faculty of Science and Engineering | |
| curtin.contributor.orcid | Dokuchaev, Nikolai [0000-0002-9951-8904] | |
| curtin.contributor.scopusauthorid | Dokuchaev, Nikolai [55883198000] |