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- W4289597908 abstract "We consider non-local Schrodinger operators $H=-L-V$ in $L^2(mathbf{R}^d)$, $d geq 1$, where the kinetic terms $L$ are pseudo-differential operators which are perturbations of the fractional Laplacian by bounded non-local operators and $V$ is the fractional Hardy potential. We prove pointwise estimates of eigenfunctions corresponding to negative eigenvalues and upper finite-time horizon estimates for heat kernels. We also analyze the relation between the matching lower estimates of the heat kernel and the ground state near the origin. Our results cover the relativistic Schrodinger operator with Coulomb potential." @default.
- W4289597908 created "2022-08-03" @default.
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- W4289597908 date "2022-08-01" @default.
- W4289597908 modified "2023-09-25" @default.
- W4289597908 title "Bound states and heat kernels for fractional-type Schrodinger operators with singular potentials" @default.
- W4289597908 doi "https://doi.org/10.48550/arxiv.2208.00683" @default.
- W4289597908 hasPublicationYear "2022" @default.
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