TY - JOUR
T1 - On Green functions for Dirichlet sub-Laplacians on H-type groups
AU - Garofalo, Nicola
AU - Ruzhansky, Michael
AU - Suragan, Durvudkhan
N1 - Funding Information:
The authors were supported in parts by the EPSRC grant EP/K039407/1 and by the Leverhulme Grant RPG-2014-02, as well as by the MESRK grant 5127/GF4. No new data was collected or generated during the course of this research.
Publisher Copyright:
© 2017 The Author(s)
PY - 2017/8/15
Y1 - 2017/8/15
N2 - 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.
AB - 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.
KW - Dirichlet sub-Laplacian
KW - Green function
KW - Heisenberg-type group
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U2 - 10.1016/j.jmaa.2017.03.031
DO - 10.1016/j.jmaa.2017.03.031
M3 - Article
AN - SCOPUS:85015746069
SN - 0022-247X
VL - 452
SP - 896
EP - 905
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -