Divyansh Agrawal

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math.AP2025

Range characterization of the ray transform on Sobolev spaces of symmetric tensor fields in two dimensions

Divyansh Agrawal, Venkateswaran P. Krishnan, Vladimir A. Sharafutdinov

The ray transform $I_{m}$ integrates a symmetric $m$ rank tensor field $f$ on $R^{n}$ over lines. In the case of $n \geq 3$ , the range characterization of the operator $I_{m}$ on w…

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…