Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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A NEUMANN TYPE PROBLEM ON AN UNBOUNDED DOMAIN IN THE HEISENBERG GROUP

  • Dubey, Shivani (Department of Mathematics Vivekananda College University of Delhi) ;
  • Mishra, Mukund Madhav (Department of Mathematics Hansraj College University of Delhi) ;
  • Pandey, Ashutosh (Department of Mathematics Faculty of Mathematical Sciences University of Delhi)
  • Received : 2021.07.28
  • Accepted : 2022.02.10
  • Published : 2022.05.01
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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.

Keywords

Acknowledgement

The research is supported by the Senior Research Fellowship of Council of Scientific & Industrial Research (CSIR), Government of India under grant reference number 09/045(1479)/2017-EMR-I.

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