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Stability of a singular continuous spectrum of Sturm-Liouville operators (1991)

Castillo, Rafael Del Río

Springer

Letters in mathematical physics 23 (1991), S. 147-150

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ISSN: 1573-0530

Keywords: 34L99 ; 34B24 ; 47E05

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract We 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 conditionsu(0) cos α+u′(0) sin α=0 has a singular continuous spectrum in [0, 1] for every locally integrable functionv with compact support and every α ∈ [0, 2π].

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00703728

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