| dc.contributor.author |
Kumar, Pranav |
|
| dc.contributor.author |
Purohit, Anamika |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2024-08-09T10:31:54Z |
|
| dc.date.available |
2024-08-09T10:31:54Z |
|
| dc.date.issued |
2024-07 |
|
| dc.identifier.citation |
Kumar, Pranav and Purohit, Anamika, "Inverse boundary value problem for the convection-diffusion equation with local data", arXiv, Cornell University Library, DOI: arXiv:2407.18361, Jul. 2024. |
|
| dc.identifier.uri |
http://arxiv.org/abs/2407.18361 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/10313 |
|
| dc.description.abstract |
We study a local data inverse problem for the time-dependent Convection-Diffusion Equation (CDE) in a bounded domain where a part of the boundary is treated to be inaccessible. Up on assuming the inaccessible part to be flat, we seek for the unique determination of the time-dependent convection and the density terms from the knowledge of the boundary data measured outside the inaccessible part. In the process, we show that there is a natural gauge in the perturbations, and we prove that this is the only obstruction in the uniqueness result. |
|
| dc.description.statementofresponsibility |
by Pranav Kumar and Anamika Purohit |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Cornell University Library |
|
| dc.title |
Inverse boundary value problem for the convection-diffusion equation with local data |
|
| dc.type |
Article |
|
| dc.relation.journal |
arXiv |
|