arXiv subjects

Shivani Dubey

Publications and source records attributed to Shivani Dubey.

2 recordsLinked to original sources

arXiv2021

A Neumann type problem on an unbounded domain in the Heisenberg group

We discuss the wellposedness of the Neumann problem on a half-space for the Kohn-Laplacian in the Heisenberg group. We then construct the Neumann function and explicitly represent the solution of the associated inhomogeneous problem.

math.AP↗

arXiv2013

Green's function for certain domains in the Heisenberg Group $\mathbb H_n$

We obtain explicit smooth Green's functions for annular domain and infinite strip by using kelvin $R$-transform in the Heisenberg group $\H_n$.

math.AP↗