【摘 要】
：
Let X =(X1,X2,…,Xm)be a system of real smooth vector fields defined on a bounded open domain Ω()Rn with smooth boundary (e)Ω which is non-characteristic
【出 处】
：
非线性偏微分方程和数学物理研讨会(NPDEMP 2016)
论文部分内容阅读
Let X =(X1,X2,…,Xm)be a system of real smooth vector fields defined on a bounded open domain Ω()Rn with smooth boundary (e)Ω which is non-characteristic for X.If X satisfies the Hormanders condition,then the vector fields is finitely degenerate and the sum of square operator △X =∑m j=1 X2j is a subelliptic operator.In this talk,let λk be the k-th Dirichlet eigenvalue for the bi-subelliptic operator △2X on Ω,we shall use the subelliptic estimates to give the explicit lower bounds of λk,which is the extension of the classical result for bi-harmonic operator.
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