On Green functions for Dirichlet sub-Laplacians on H-type groups

Nicola Garofalo, Michael Ruzhansky, Durvudkhan Suragan

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We construct Green functions of Dirichlet boundary value problems for sub-Laplacians on certain unbounded domains of a prototype Heisenberg-type group (prototype H-type group, in short). We also present solutions in an explicit form of the Dirichlet problem for the sub-Laplacian with non-zero boundary datum on half-space, quadrant-space, etc., as well as in a strip.

Original languageEnglish
Pages (from-to)896-905
Number of pages10
JournalJournal of Mathematical Analysis and Applications
Volume452
Issue number2
DOIs
Publication statusPublished - Aug 15 2017

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Keywords

  • Dirichlet sub-Laplacian
  • Green function
  • Heisenberg-type group

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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