HEISENBERG群上退化抛物方程的HOPF型引理

A HOPF lemma of the degenerate parabolic equations on the Heisenberg group

利用Heisengberg群上抛物算子的拟齐次性质,通过建立相应的拟度量证明了Heisenberg群上退化抛物方程?Hu??tu+cu=0的Hopf型引理,其中?H表示Heisenberg群上的次Laplace算子.

A HOPF lemma of nontrivial solution of the degenerate parabolic equations ? H u ??tu+cu=0 on the Heisenberg group is proved, where?H is the Heisenberg Laplacian. The method used here is by constructing a quasi-metric corresponding to its quasi-homogeneous property.