| dc.contributor.author |
Kumar, Pranav |
|
| dc.contributor.author |
Purohit, Anamika |
|
| dc.coverage.spatial |
United Kingdom |
|
| dc.date.accessioned |
2025-01-31T08:13:23Z |
|
| dc.date.available |
2025-01-31T08:13:23Z |
|
| dc.date.issued |
2025-01 |
|
| dc.identifier.citation |
Kumar, Pranav and Purohit, Anamika, "Inverse boundary value problem for the convection-diffusion equation with local data", Applicable Analysis, DOI: 10.1080/00036811.2025.2454385, Jan. 2025. |
|
| dc.identifier.issn |
0003-6811 |
|
| dc.identifier.issn |
1563-504X |
|
| dc.identifier.uri |
https://doi.org/10.1080/00036811.2025.2454385 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/10982 |
|
| dc.description.abstract |
We study a local data inverse problem for the time-dependent convection–diffusion equation 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 |
Taylor and Francis |
|
| dc.subject |
Inverse problems |
|
| dc.subject |
Convection-diffusion equation |
|
| dc.subject |
Time-dependent coefficients |
|
| dc.title |
Inverse boundary value problem for the convection-diffusion equation with local data |
|
| dc.type |
Article |
|
| dc.relation.journal |
Applicable Analysis |
|