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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 integrates a symmetric rank tensor field on over lines. In the case of , the range characterization of the operator on w…
Density results of biharmonic functions on symmetric tensor fields and their applications to inverse problems
Divyansh Agrawal, Sombuddha Bhattacharyya, Pranav Kumar
In this article we discuss density of products of biharmonic functions vanishing on an arbitrarily small part of the boundary. We prove that one can use three or more such biharmon…
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…
Unique continuation results for certain generalized ray transforms of symmetric tensor fields
Divyansh Agrawal, Venkateswaran P. Krishnan, Suman Kumar Sahoo
Let denote the Euclidean ray transform acting on compactly supported symmetric -tensor field distributions , and be its formal adjoint. We study a u…