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20182026
most citedAn inverse problem for semilinear equations involving the fractional Laplacian

3 citations · 7 across the 18 of their papers we have counts for

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Showing 2022Show all

6 papers · 1 filter

math.AP2022

The linearized Calderón problem for polyharmonic operators

Suman Kumar Sahoo, Mikko Salo

In this article we consider a linearized Calderón problem for polyharmonic operators of order in the spirit of Calderón's original work [Cal80]. We give a uniqueness…

math.AP2022

The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform

Shiqi Ma, Suman Kumar Sahoo, Mikko Salo

We consider the inverse problem of recovering a potential from the Dirichlet to Neumann map at a large fixed frequency on certain Riemannian manifolds. We extend the earlier result…

math.AP2022

The generalized Saint Venant operator and integral moment transforms

Rohit Kumar Mishra, Suman Kumar Sahoo

In this article, we work with a generalized Saint Venant operator introduced by Vladimir Sharafutdinov to describe the kernel of the integral moment transforms over symmetric m-ten…

math.AP2022★ 1 cited

Unique continuation results for certain generalized ray transforms of symmetric tensor fields

Divyansh Agrawal, Venkateswaran P. Krishnan, Suman Kumar Sahoo

Let denote the Euclidean ray transform acting on compactly supported symmetric -tensor field distributions , and be its formal adjoint. We study a u…

math.AP2022★ 3 cited

An inverse problem for semilinear equations involving the fractional Laplacian

Pu-Zhao Kow, Shiqi Ma, Suman Kumar Sahoo

Our work concerns the study of inverse problems of heat and wave equations involving the fractional Laplacian operator with zeroth order nonlinear perturbations. We recover nonline…

math.AP2022

Coefficient Determination for Non-Linear Schrödinger Equations on manifolds

Matti Lassas, Lauri Oksanen, Suman Kumar Sahoo +2

We consider an inverse problem of recovering the unknown coefficients and appearing in a time-dependent nonlinear Schrödinger equation $ (\mathrm{i} \partial_t +Δ…