5 papers
An inverse source problem for the Monge--Ampere equation from large boundary data
CÄtÄlin I. Cârstea, Tuhin Ghosh
We study an inverse source problem for the Monge--Ampere equation \[ \det D^2u=f(x) \] on a bounded smooth uniformly convex domain. In the smooth classical regime, we prove that th…
Inverse boundary value problems for certain doubly nonlinear parabolic and elliptic equations
CÄtÄlin I. Cârstea, Tuhin Ghosh
We consider an inverse boundary value problem for the doubly nonlinear parabolic equation \[ ε(x)\partial_t u^m-\nabla\cdot\bigl(γ(x)|\nabla u|^{p-2}\nabla u\bigr)=0 \quad\text{i…
Anisotropic Calderón problem for a logarithmic Schrödinger operator of order on closed Riemannian manifolds
Saumyajit Das, Tuhin Ghosh, Susovan Pramanik
In this article, we study the anisotropic Calderón problems for the non local logarithimic Schrödinger operators with on a closed, connected, s…
Inverse scattering for the fractional Schrödinger equation
Saumyajit Das, Tuhin Ghosh, Shiqi Ma
This article is devoted to studying the inverse scattering for the fractional Schrödinger equation, and in particular we solve the Born approximation problem. Based on the (,…
Fractional Borg-Levinson Problem with small non-negative potential of small growth
Saumyajit Das, Tuhin Ghosh
In this article, we investigate the fractional Borg-Levinson problem, an inverse spectral problem focused on recovering potentials from boundary spectral data. We demonstrate that…