We consider inverse boundary value problems for polyharmonic operators and in particular, the problem of recovering the coefficients of terms up to order one. The main interest of our …
AP Choudhury, H Heck - Journal of Inverse and Ill-posed Problems, 2017 - degruyter.com
In this article, we establish logarithmic stability estimates for the determination of the perturbation of the biharmonic operator from partial data measurements when the …
We study inverse boundary problems for third-order nonlinear tensorial perturbations of biharmonic operators on a bounded domain in $\mathbb {R}^ n $, where $ n\geq 3$. By …
N Aroua, M Bellassoued - Journal of Mathematical Analysis and …, 2023 - Elsevier
In this paper, we consider the inverse boundary value problem for the polyharmonic operator. We prove that the second order perturbations are uniquely determined by the …
Y Ma, G Liu - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
Stability estimates for the inverse boundary value problem for the first order perturbation of the biharmonic operator - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals …
B Liu - arXiv preprint arXiv:1910.13489, 2019 - arxiv.org
We study the inverse boundary value problems of determining a potential in the Helmholtz type equation for the perturbed biharmonic operator from the knowledge of the partial …
B Liu - Inverse Problems, 2024 - iopscience.iop.org
In this paper we study an inverse boundary value problem for the biharmonic operator with first order perturbation. Our geometric setting is that of a bounded simply connected domain …
X Zhao, G Yuan - arXiv preprint arXiv:2211.02851, 2022 - arxiv.org
In this paper, we study the phenomenon of increasing stability in the inverse boundary value problems for the biharmonic equation. By considering a linearized form, we obtain an …
B Liu, S Selim - arXiv preprint arXiv:2411.07434, 2024 - arxiv.org
We consider an inverse boundary value problem for the biharmonic operator with the first order perturbation in a bounded domain of dimension three or higher. Assuming that the first …