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- W2044849816 abstract "We study a class of Schrödinger operators of the form L ε : = − ε 2 d 2 d s 2 + V , where V : R → R is a nonnegative function singular at 0, that is V ( 0 ) = 0 . Under suitable assumptions on the potential V , we derive sharp lower and upper bounds for the fundamental solution h ε . Moreover, we obtain information on the spectrum of the self-adjoint operator defined by L ε in L 2 ( R ) . In particular, we give a lower bound for the eigenvalues." @default.
- W2044849816 created "2016-06-24" @default.
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- W2044849816 date "2008-02-01" @default.
- W2044849816 modified "2023-09-27" @default.
- W2044849816 title "Estimates for fundamental solutions and spectral bounds for a class of Schrödinger operators" @default.
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- W2044849816 doi "https://doi.org/10.1016/j.jde.2007.10.018" @default.
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