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Volume 14, Issue 2
Spectral Asymtotic Behavior for a Class of Schrodinger Operators on 1-dimensional Fractal Domains

Hua Chen & Zhenbin Yan

J. Part. Diff. Eq., 14 (2001), pp. 117-132.

Published online: 2001-05

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  • 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.
  • Keywords

Counting function Scbrödinger operator Minknowski dimension

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COPYRIGHT: © Global Science Press

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@Article{JPDE-14-117, author = {Hua Chen and Zhenbin Yan }, title = {Spectral Asymtotic Behavior for a Class of Schrodinger Operators on 1-dimensional Fractal Domains}, journal = {Journal of Partial Differential Equations}, year = {2001}, volume = {14}, number = {2}, pages = {117--132}, 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5475.html} }
TY - JOUR T1 - Spectral Asymtotic Behavior for a Class of Schrodinger Operators on 1-dimensional Fractal Domains AU - Hua Chen & Zhenbin Yan JO - Journal of Partial Differential Equations VL - 2 SP - 117 EP - 132 PY - 2001 DA - 2001/05 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5475.html KW - Counting function KW - Scbrödinger operator KW - Minknowski dimension AB - 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.
Hua Chen and Zhenbin Yan . (2001). Spectral Asymtotic Behavior for a Class of Schrodinger Operators on 1-dimensional Fractal Domains. Journal of Partial Differential Equations. 14 (2). 117-132. doi:
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