Suman Kumar Sahoo

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20222024

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math.AP2024

Inversion formula, Unique continuation property, and range characterization of the mixed ray transform in $R^{2}$

Rohit Kumar Mishra, Suman Kumar Sahoo, Chandni Thakkar

In this article, we study various aspects of the mixed ray transform of $(k + ℓ)$ -tensor fields that are symmetric in its first $k$ and last $ℓ$ indices. As a first result, w…

math.AP2024

Inverse problems for semilinear Schrödinger equations at large frequency via polynomial resolvent estimates on manifolds

Katya Krupchyk, Shiqi Ma, Suman Kumar Sahoo +2

We study inverse boundary problems for semilinear Schrödinger equations on smooth compact Riemannian manifolds of dimensions $\geq 2$ with smooth boundary, at a large fixed frequenc…

math.AP2023

Linearized partial data Calderón problem for Biharmonic operators

Divyansh Agrawal, Ravi Shankar Jaiswal, Suman Kumar Sahoo

We consider a linearized partial data Calderón problem for biharmonic operators extending the analogous result for harmonic operators. We construct special solutions and utilize Se…

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 $2 m (m \geq 2)$ in the spirit of Calderón's original work [Cal80]. We give a uniqueness…

Inversion formula, Unique continuation property, and range characterization of the mixed ray transform in R2

Inverse problems for semilinear Schrödinger equations at large frequency via polynomial resolvent estimates on manifolds

Linearized partial data Calderón problem for Biharmonic operators

The linearized Calderón problem for polyharmonic operators

Inversion formula, Unique continuation property, and range characterization of the mixed ray transform in $R^{2}$