International Journal of Engineering and Manufacturing(IJEM)

ISSN: 2305-3631 (Print), ISSN: 2306-5982 (Online)

Published By: MECS Press

IJEM Vol.1, No.6, Dec. 2011

Green Functions for Sub-Laplacian on Half Spaces of the Heisenberg Group

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Na Wei,Pengcheng Niu,Jialin Wang

Index Terms

Heisenberg group; half space; Green function


Green functions for sub-Laplacian on the domains in the Heisenberg group are derived, which can be used to solve partial differential equations subject to specific initial conditions or boundary conditions. Then the integral formulas for sub-Laplace equation on characteristic and non-characteristic half spaces are given, respectively.

Cite This Paper

Na Wei,Pengcheng Niu,Jialin Wang,"Green Functions for Sub-Laplacian on Half Spaces of the Heisenberg Group", IJEM, vol.1, no.6, pp.36-43, 2011.


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