Local data inverse problem for the polyharmonic operator with anisotropic perturbations

S Bhattacharyya, P Kumar - Inverse Problems, 2024 - iopscience.iop.org
In this article, we study an inverse problem with local data for a linear polyharmonic operator
with several lower order tensorial perturbations. We consider our domain to have an …

An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator

S Bhattacharyya, T Ghosh - Mathematische Annalen, 2022 - Springer
This article offers a study of the Calderón type inverse problem of determining up to second
order coefficients of higher order elliptic operators. Here we show that it is possible to …

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 …

Partial data inverse problems for magnetic Schrödinger operators on conformally transversally anisotropic manifolds

S Selim, L Yan - Asymptotic Analysis, 2024 - journals.sagepub.com
We study inverse boundary problems for the magnetic Schrödinger operator with Hölder
continuous magnetic potentials and continuous electric potentials on a conformally …

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 …

Inverse problem for a time-dependent convection-diffusion equation in admissible geometries

RK Mishra, A Purohit, M Vashisth - arXiv preprint arXiv:2209.08780, 2022 - arxiv.org
We consider a partial data inverse problem for a time-dependent convection-diffusion
equation on an admissible manifold. We prove that the time-dependent convection term and …

Partial data inverse problems for magnetic Schrödinger operators with potentials of low regularity

S Selim - SIAM Journal on Mathematical Analysis, 2024 - SIAM
We establish a global uniqueness result for an inverse boundary problem with partial data
for the magnetic Schrödinger operator with a magnetic potential of class, and an electric …

The Buckling Operator: Inverse Boundary Value Problem

Y Ma - Mathematics, 2023 - mdpi.com
In this paper, we consider a zeroth-order perturbation q (x) of the buckling operator Δ 2− κ Δ,
which can be uniquely determined by measuring the Dirichlet-to-Neumann data on the …

Inverse boundary value problem of determining up to second order tensors appear in the lower order perturbations of the polyharmonic operator

T Ghosh, S Bhattacharyya - arXiv preprint arXiv:1706.03823, 2017 - arxiv.org
We consider the following perturbed polyharmonic operator $\Lc (x, D) $ of order $2 m $
defined in a bounded domain $\Omega\subset\mathbb {R}^ n, n\geq 3$ with smooth …