6 papers
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…
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…
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…
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…
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…
Unique continuation for the momentum ray transform
Joonas Ilmavirta, Pu-Zhao Kow, Suman Kumar Sahoo
The present article focuses on a unique continuation result for certain weighted ray transforms, utilizing the unique continuation property (UCP) of the fractional Laplace operator…