,SPECTRAL ASYMPTOTIC BEHAVIOR FOR A CLASS OFrnSCHR DINGER OPERATORS ON 1-DIMENSIONALrnFRACTAL

来源 :偏微分方程（英文版） | 被引量 : 0次 | 上传用户：kwok916

【摘要】

：

In this paper, we study the spectral asymptotic behavior for a class of Schr dinger operators on 1-dimensional fractal domains. We have obtained, if the potenti

【作者】

：

Chen Hua Yan Zhenbin

【机构】

：

Institute of Mathematics, Wuhan University, Wuhan 430072, China

【出处】

：

偏微分方程（英文版）

【发表日期】

：

2001年2期

【关键词】

：

Counting function Schr dinger operator Minkowski dimension.

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In this paper, we study the spectral asymptotic behavior for a class of Schr dinger operators on 1-dimensional fractal domains. We have obtained, if the potential function is locally constant, the exact second term of the spectral asymptotics.In general, we give a sharp estimate for the second term of the spectral asymptotics.

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,SPECTRAL ASYMPTOTIC BEHAVIOR FOR A CLASS OFrnSCHR DINGER OPERATORS ON 1-DIMENSIONALrnFRACTAL

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