{"paper":{"title":"Inverse boundary value problem of determining up to second order tensors appear in the lower order perturbations of the polyharmonic operator","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Sombuddha Bhattacharyya, Tuhin Ghosh","submitted_at":"2017-06-12T19:50:27Z","abstract_excerpt":"We consider the following perturbed polyharmonic operator $\\Lc(x,D)$ of order $2m$ defined in a bounded domain $\\Omega \\subset \\mathbb{R}^n, n\\geq 3$ with smooth boundary, as \\begin{equation*} \\Lc(x,D) \\equiv (-\\Delta)^m + \\sum_{j,k=1}^{n}A_{jk} D_{j}D_{k} + \\sum_{j=1}^{n}B_{j} D_{j} + q(x), \\end{equation*} where $A$ is a symmetric $2$-tensor field, $B$ and $q$ are vector field and scalar potential respectively. We show that the coefficients $A=[A_{jk}]$, $B=(B_j)$ and $q$ can be recovered from the associated Dirichlet-to-Neumann data on the boundary. Note that, this result shows an example of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03823","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}