TY - JOUR
T1 - Spectral Asymtotic Behavior for a Class of Schrodinger Operators on 1-dimensional Fractal Domains
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.