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- W2964032049 abstract "In this paper we study a Landis-type conjecture for fractional Schrödinger equations of fractional power s∈(0,1) with potentials. We discuss both the cases of differentiable and non-differentiable potentials. On the one hand, it turns out for differentiable potentials with some a priori bounds, if a solution decays at a rate e−|x|1+, then this solution is trivial. On the other hand, for s∈(1/4,1) and merely bounded non-differentiable potentials, if a solution decays at a rate e−|x|α with α>4s/(4s−1), then this solution must again be trivial. Remark that when s→1, 4s/(4s−1)→4/3 which is the optimal exponent for the standard Laplacian. For the case of non-differentiable potentials and s∈(1/4,1), we also derive a quantitative estimate mimicking the classical result by Bourgain and Kenig." @default.
- W2964032049 created "2019-07-30" @default.
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- W2964032049 date "2019-11-01" @default.
- W2964032049 modified "2023-09-26" @default.
- W2964032049 title "On the fractional Landis conjecture" @default.
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- W2964032049 doi "https://doi.org/10.1016/j.jfa.2019.05.026" @default.
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