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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.06048 |
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| _version_ | 1866929561495666688 |
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| author | Bansal, Rajat Krishnan, Venkateswaran P. Pattar, Rahul Raju |
| author_facet | Bansal, Rajat Krishnan, Venkateswaran P. Pattar, Rahul Raju |
| contents | 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 $\bar{\partial}$-techniques and the method of stationary phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_06048 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Determination of Lower Order Perturbations of a Polyharmonic Operator in Two Dimensions Bansal, Rajat Krishnan, Venkateswaran P. Pattar, Rahul Raju Analysis of PDEs 35R30, 35J40 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 $\bar{\partial}$-techniques and the method of stationary phase. |
| title | Determination of Lower Order Perturbations of a Polyharmonic Operator in Two Dimensions |
| topic | Analysis of PDEs 35R30, 35J40 |
| url | https://arxiv.org/abs/2309.06048 |