Inverse boundary value problem of determining up to a second order tensor appear in the lower order perturbation of a polyharmonic operator

S Bhattacharyya, T Ghosh - Journal of Fourier Analysis and Applications, 2019 - Springer
We consider the following perturbed polyharmonic operator L (x, D) L (x, D) of order 2 m
defined in a bounded domain Ω ⊂ R^ n, n ≥ 3 Ω⊂ R n, n≥ 3 with smooth boundary, as L …

Inverse boundary value problems for polyharmonic operators with non-smooth coefficients

RM Brown, LD Gauthier - arXiv preprint arXiv:2108.11522, 2021 - arxiv.org
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 …

Stability of the inverse boundary value problem for the biharmonic operator: Logarithmic estimates

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 …

Inverse Problems For Third-Order Nonlinear Perturbations Of Biharmonic Operators

S Bhattacharyya, K Krupchyk, SK Sahoo… - arXiv preprint arXiv …, 2023 - arxiv.org
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 …

Stable determination of a second order perturbation of the polyharmonic operator by boundary measurements

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 …

Stability estimates for the inverse boundary value problem for the first order perturbation of the biharmonic operator

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 …

Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies

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 …

Stability estimates for an inverse boundary value problem for biharmonic operators with first order perturbation from partial data

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 …

linearized inverse problem for biharmonic operators at high frequencies

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 …

Stable determination of the first order perturbation of the biharmonic operator from partial data

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 …