Spectral Asymtotic Behavior for a Class of Schrodinger Operators on 1-dimensional Fractal Domains

Authors

  • Hua Chen & Zhenbin Yan

Keywords:

Counting function;Scbrödinger operator;Minknowski dimension

Abstract

In this paper, we study the spectral asymptotic behavior for a class of Schrödinger 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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Published

2001-05-02

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Issue

Vol. 14 No. 2 (2001)

Section

Articles

How to Cite

Spectral Asymtotic Behavior for a Class of Schrodinger Operators on 1-dimensional Fractal Domains. (2001). Journal of Partial Differential Equations, 14(2), 117-132. https://global-sci.com/index.php/jpde/article/view/3967