ON UNIQUE CONTINUATION PROPERTIES FOR THE SUB-LAPLACIAN ON CARNOT GROUPS |
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| Authors: | Niu Pengcheng Wang Jialin |
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| Institution: | [1]Department of Applied Mathematics, Northwestern Polytechnical University, Xi＇an 710072, China [2]College of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, China |
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| Abstract: | In this article,authors begin with establishing representation formulas and properties for functions on Carnot groups.Then,some unique continuation results to solutions of sub-Laplace equations with potentials are proved. |
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| Keywords: | unique continuation representation formula spherical function Carnotgroup sub-Laplacian |
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