报告人：陈化教授

武汉大学

报告题目：Precise lower bound estimates of Dirichlet eigenvalues for subelliptic operators

报告时间：2017年12月29日下午15:00

报告地点：海韵行政楼B313

摘要：Let $\Omega$ be a bounded connected open subset in $\mathbb{R}^n$ with smooth boundary $\partial\Omega$ and $X=(X_{1},X_{2},\cdots,X_{m})$ be a system of real smooth vector fields which satisfying the H\"ormander's condition, $\partial\Omega$ be non-characteristic for $X$. For the $k^{th}$ Dirichlet eigenvalue $\lambda_{k}$ of the self-adjoint subelliptic operator $\triangle_{X}=\sum_{i=1}^{m}X_{i}^{2}$ on $\Omega$, we establish the precise lower bounds of $\lambda_{k}$. Here our results are valid for a class of finitely degenerate sum of squares elliptic operators.

学院联系人：谭忠教授

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