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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9513| Title: | Determination of lower order perturbations of a polyharmonic operator in two dimensions |
| Authors: | BANSAL, RAJAT Krishnan, Venkateswaran P. Pattar, Rahul Raju Dept. of Mathematics |
| Keywords: | Inverse boundary value problem Perturbed two-dimensional polyharmonic operator Cauchy data Uniqueness 2024 |
| Issue Date: | Nov-2024 |
| Publisher: | De Gruyter |
| Citation: | Journal of Inverse and Ill-Posed Problems, 33(01), 1-9. |
| Abstract: | We study an inverse boundary value problem for a polyharmonic operator in two dimensions. We show that the Cauchy data uniquely determine all the anisotropic perturbations of orders at most m - 1 and several perturbations of orders m to 2m - 2 under some restriction. The uniqueness proof relies on the partial derivative-techniques and the method of stationary phase. |
| URI: | https://doi.org/10.1515/jiip-2023-0067 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9513 |
| ISSN: | 0928-0219 1569-3945 |
| Appears in Collections: | JOURNAL ARTICLES |
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