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

Na Wei | Zendy; Pengcheng Niu | Zendy; Jialin Wang | Zendy

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

Author(s) -

Na Wei,

Pengcheng Niu,

Jialin Wang

Publication year - 2011

Publication title -

international journal of engineering and manufacturing

Language(s) - English

Resource type - Journals

eISSN - 2306-5982

pISSN - 2305-3631

DOI - 10.5815/ijem.2011.06.06

Subject(s) - heisenberg group , laplace operator , mathematics , laplace transform , group (periodic table) , green s , mathematical analysis , laplace's equation , boundary value problem , partial differential equation , green's function for the three variable laplace equation , differential equation , boundary (topology) , p laplacian , pure mathematics , mathematical physics , physics , quantum mechanics

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.

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