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

2021/05/27 by Ashutosh Pandey, Pandey, Ashutosh, Mukund Madhav Mishra +3
Computer Science · Mathematics · #31B20 #35H20 #35N15 #45B05 #65N80 #Advanced Mathematical Modeling in Engineering #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2105.13261

openalex publication_date 2021/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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