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The Negative Spectrum of Schrodinger Operators with Spherical Fractal Potentials

Bo Wu, Yin Li


In this paper, we discuss the problem of the negative spectrum for the Schrodinger operators associated with spherical fractal potentials acting in the anisotropic Sobolev space. The negative spectrum for the Schrodinger operators has been studied by Triebel. We study operators with spherical fractal potentials which are a kind of nonisotropic fractal potentials and give the better estimates.


anisotropic function space, spherical fractal,Schrodinger operators, negative eigenvalues.

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