1 citations · 1 across the 3 of their papers we have counts for
4 papers
The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation
Anuj Abhishek, Thuy Le, Loc Nguyen +1
We propose to combine the Carleman estimate and the Newton method to solve an inverse source problem for nonlinear parabolic equations from lateral boundary data. The stability of…
Adaptive estimation of a function from its Exponential Radon Transform in presence of noise
Anuj Abhishek, Sakshi Arya
In this article we propose a locally adaptive strategy for estimating a function from its Exponential Radon Transform (ERT) data, without prior knowledge of the smoothness of funct…
Minimax optimal estimator in the stochastic inverse problem for exponential Radon transform
Anuj Abhishek
In this article, we consider the problem of inverting the exponential Radon transform of a function in the presence of noise. We propose a kernel estimator to estimate the true fun…
Support theorem for the transverse ray transform of tensor fields of rank 2
Anuj Abhishek
Let (M, g) be a simple, real analytic, Riemannian manifold with boundary and of dimension n>=3. In this work, we prove a support theorem for the transverse ray transform of tensor…