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math.AP2026

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…

math.AP2025

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, smoot…

math.AP2025

Anisotropic Calderón problem of a nearly Laplace-Beltrami operator of order

Susovan Pramanik

This paper investigates the anisotropic Calderón problem for Logarithemic Laplacian, on closed Riemannian manifolds, which could be considered as near Laplace operator. We demonstr…

math.AP2025

Anisotropic Calderón Problem for a Non-Local Second Order Elliptic Operator

Susovan Pramanik

This paper investigates the anisotropic Calderón problem for a non-local elliptic operator of order 2, on closed Riemannian manifolds. We demonstrate that using the Cauchy data set…