activity
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

collaborators

20 papers

math.AP2026

The anisotropic Calderón problem for Riemannian metrics at high fixed frequency

Mihajlo Cekić, Katya Krupchyk, Suman Kumar Sahoo +1

We study an inverse boundary value problem for the Helmholtz equation on a smooth compact non-trapping Riemannian manifold with strictly convex boundary. We prove that, given two s…

math.AP2026

An Inverse problem for a fourth order nonlinear Schrödinger equation (NLS)

Rohit Kumar Mishra, Anamika Purohit, Suman Kumar Sahoo

We study an inverse problem for the time-dependent nonlinear fourth-order Schrödinger equation on both compact Euclidean domains and compact Riemannian manifolds, (say) . This m…

math.AP2026

Inverse problems for the spectral fractional Laplacian with inhomogeneous Dirichlet boundary data

Ravi Shankar Jaiswal, Pu-Zhao Kow, Suman Kumar Sahoo

In this paper, we study the spectral fractional Laplacian with inhomogeneous Dirichlet boundary data. Our contributions are twofold: first we introduce a Dirichlet-to-Neumann map f…

math.AP2026

A generalized Helmholtz-type decomposition of symmetric tensor fields and applications to ray transforms

Antti Kykkänen, Rohit Kumar Mishra, Suman Kumar Sahoo

We study a solenoidal-potential type decomposition of a symmetric -tensor field in $\Rb^2$, and its implications to injectivity questions for the momentum and elastic ray transf…

math.AP2025

The Momentum Light Ray Transform

Sombuddha Bhattacharyya, Tuhin Mondal, Suman Kumar Sahoo

In this article, we study Momentum Light Ray Transform (MLRT) on symmetric tensor fields. MLRT is an integral transform in time-space domain (), which in…

math.AP2025

An inverse problem for a nonlinear biharmonic operator

Janne Nurminen, Suman Kumar Sahoo

An inverse problem for a nonlinear biharmonic operator is under consideration in the spirit of Isakov (1993) and Johansson-Nurminen-Salo (2023). We prove that a general nonlinear t…