On Green functions for Dirichlet sub-Laplacians on H-type groups
Analysis of PDEs
2018-06-26 v1
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.
Keywords
Cite
@article{arxiv.1703.04324,
title = {On Green functions for Dirichlet sub-Laplacians on H-type groups},
author = {Nicola Garofalo and Michael Ruzhansky and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:1703.04324},
year = {2018}
}
Comments
11 pages, to appear in JMAA