activity
20202024
most citedWeighted Divergent Beam Ray Transform: Reconstruction, Unique continuation and Stability

1 citations · 2 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2024★ 1 cited

Weighted Divergent Beam Ray Transform: Reconstruction, Unique continuation and Stability

Shubham R. Jathar, Manas Kar, Venkateswaran P. Krishnan +1

In this article, we establish that any symmetric -tensor field can be recovered pointwise from partial data of the -th weighted divergent ray transform for any $k \in \mathbb…

math.AP2023

Determination of Lower Order Perturbations of a Polyharmonic Operator in Two Dimensions

Rajat Bansal, Venkateswaran P. Krishnan, Rahul Raju Pattar

We study an inverse boundary value problem for a polyharmonic operator in two dimensions. We show that the Cauchy data uniquely determine all the anisotropic perturbations of order…

math.AP2021

Global Well-posedness of a Class of Singular Hyperbolic Cauchy Problems

Rahul Raju Pattar, N. Uday Kiran

The goal of this paper is to establish a global well-posedness, cone condition and loss of regularity for singular hyperbolic equations with coefficients in { $L^1((0,T];C^\infty(\…

math.AP2021

Global Well-Posedness of a Class of Hyperbolic Cauchy Problems with Coefficients Sublogarithmic in Time

Rahul Raju Pattar, N. Uday Kiran

The goal of this paper is to study global well-posedness, cone of dependence and loss of regularity of the solutions to a class of strictly hyperbolic equations with coefficients d…

math.AP2021

Energy Estimates and Global Well-posedness for a Broad Class of Strictly Hyperbolic Cauchy Problems with Coefficients Singular in Time

Rahul Raju Pattar, N. Uday Kiran

The goal of this paper is to establish a global well-posedness for a broad class of strictly hyperbolic Cauchy problems with coefficients in gro…

math.AP2021★ 1 cited

Strictly Hyperbolic Cauchy Problems on with Unbounded and Singular Coefficients

Rahul Raju Pattar, N. Uday Kiran

We investigate the behavior of the solutions of a class of certain strictly hyperbolic equations defined on in relation to a class of metrics on the phas…

math.AP2020

Global Well-Posedness of a Class of Strictly Hyperbolic Cauchy Problems with Coefficients Non-Absolutely Continuous in Time

Rahul Raju Pattar, N. Uday Kiran

We investigate the behavior of the solutions of a class of certain strictly hyperbolic equations defined on in relation to a class of metrics on the phase space.…