5 papers
Eigenfunction equivalence for the fractional Laplace-Beltrami operator and the classical Helmholtz equation
Saumyajit Das, Susovan Pramanik
In this article we study the spectral problem related to the fractional Laplace-Beltrami equation on and establish its equivalence with the classical anisotropic…
On a nonlocal non-linear inverse scattering problem
Saumyajit Das, Susovan Pramanik
In this article, we study the inverse scattering problem for the nonlinear fractional Helmholtz equation with cubic nonlinearity in three dimensions, where we recover a compactly s…
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…