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On Unique Continuation Property for the Sub-Laplacian in the Heisenberg Group
关于Heisenberg群上次Laplace算子的唯一延拓性

Keywords: Unique continuation,Heisenberg group,sub-Laplace operator
唯一延拓性
,Heisenberg群,次Laplace算子.,Heisenberg,Laplace,算子,唯一延拓性,HEISENBERG,GROUP,PROPERTY,结果,非负解,微分不等式

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Abstract:

The unique continuation of nonnegative solutions to the differential inequality $\mid{\it \Delta}_{{\it H}^{n}}u \mid\leq \frac{C}{d(z,t)^{2}}\psi \mid u \mid$on the Heisenberg group ${\it H}^{n}$ is proved.

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