Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials. - Ilmenau : Technische Universität Ilmenau, Institut für Mathematik, 2019. - 1 Online-Ressource (26 Seiten). - (Preprint ; M19,01)
The non-real spectrum of a singular indefinite Sturm-Liouville operator A=1/r (-d/dx p d/dx+q) with a sign changing weight function r consists (under suitable additional assumptions on the real coefficients 1/p,q,r in L^1_loc(R)) of isolated eigenvalues with finite algebraic multiplicity which are symmetric with respect to the real line. In this paper bounds on the absolute values and the imaginary parts of the non-real eigenvalues of A are proved for uniformly locally integrable potentials q and potentials $q in L^s(R) for some s in [1,\infty]. The bounds depend on the negative part of q, on the norm of 1/p and in an implicit way on the sign changes and zeros of the weight function.
https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2019200016
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https://doi.org/10.1088/1361-6528/aaf607
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https://doi.org/10.1021/acs.langmuir.8b03057
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https://doi.org/10.1016/j.jpowsour.2018.11.063
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https://doi.org/10.1016/j.laa.2018.11.020
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https://doi.org/10.1088/1361-648X/aaf515
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https://doi.org/10.1016/j.apcatb.2018.11.036
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https://doi.org/10.1039/C8NH00305J
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https://doi.org/10.1007/s00453-018-0516-4