Singular spectrum of sturm-liouville operators under local perturbations

@article{Castillo1991SingularSO,
  title={Singular spectrum of sturm-liouville operators under local perturbations},
  author={Rafael Castillo},
  journal={American Journal of Mathematics},
  year={1991},
  volume={113},
  pages={203-217}
}
  • R. Castillo
  • Published 1 April 1991
  • Mathematics
  • American Journal of Mathematics

Stability of a singular continuous spectrum of Sturm-Liouville operators

AbstractWe prove that there exists a continuous potentialq such that the operator generated by $$(lu)(x) = - u^n (x) + \{ q(x) + \upsilon (x)\} u(x), 0 \leqslant (x)< \infty$$ and boundary

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