Rohit Kumar Mishra

activity

20242026

collaborators

6 papers

math.CA2026

Gaussian beam Radon transform for tensor fields in $R^{2}$

Rohit Kumar Mishra, Souvik Roy, Indrani Zamindar

In this article, we introduce and study a set of generalized Gaussian beam Radon transforms (GbRt) acting on tensor fields in $R^{2}$ . The operators considered include longi…

math.CA2026

The head-wave transform

Maarten V. de Hoop, Antti KykkÃ¤nen, Rohit Kumar Mishra

We introduce and study a new integral ray transform called the head-wave transform. The head-wave transform integrates a function along a piecewise linear (in general geodesic) pat…

math.AP2026

An Inverse problem for a fourth order nonlinear SchrÃ¶dinger equation (NLS)

Rohit Kumar Mishra, Anamika Purohit, Suman Kumar Sahoo

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

math.CA2025

Reconstruction of scalar functions and vector fields from weighted V-line transforms with swinging branches

Gaik Ambartsoumian, Rohit Kumar Mishra, Indrani Zamindar

Weighted V-line transforms map a symmetric tensor field of order $m \geq 0$ to a linear combination of certain integrals of those fields along two rays emanating from the same vertex.…

math.AP2025

Inversion of generalized Radon transform over symmetric $m$ -tensor fields in $R^{n}$

Anuj Abhishek, Rohit Kumar Mishra, Chandni Thakkar

In this work, we study a set of generalized Radon transforms over symmetric $m$ -tensor fields in $R^{n}$ . The longitudinal/transversal Radon transform and corresponding weig…

math.NA2024

Tensor tomography using V-line transforms with vertices restricted to a circle

Rohit Kumar Mishra, Anamika Purohit, Indrani Zamindar

In this article, we study the problem of recovering symmetric $m$ -tensor fields (including vector fields) supported in a unit disk $D$ from a set of generalized V-line tra…