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

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

Year:    2001

Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JPDE-5475

Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 2 : pp. 117–132

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Counting function