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Na Wei

Work place: Department of Applied Mathematics; Key Laboratory of Space Applied Physics and Chemistry, Ministry of Northwestern Polytechnical University Education Xi’an, Shaanxi Province, 710129, China

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

By Na Wei Pengcheng Niu Jialin Wang

DOI: https://doi.org/10.5815/ijem.2011.06.06, Pub. Date: 5 Dec. 2011

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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