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- W2768619965 abstract "In this paper, we are concerned with the nonrelativistic limit of the following pseudo-relativistic equation with Hartree nonlinearity or power type nonlinearity ( − ħ 2 c 2 Δ + m 2 c 4 − m c 2 ) u + μ u = N ( u ) , where c denotes the speed of light. We prove that as c → ∞ the ground states of this equation converges to the ground state of its nonrelativistic counterpart − ħ 2 2 m Δ u + μ u = N ( u ) with convergence rate 1 / c 2 in every H s norms. Moreover, we show that this rate is optimal." @default.
- W2768619965 created "2017-12-04" @default.
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- W2768619965 date "2018-02-01" @default.
- W2768619965 modified "2023-10-13" @default.
- W2768619965 title "Optimal convergence rate and regularity of nonrelativistic limit for the nonlinear pseudo-relativistic equations" @default.
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- W2768619965 doi "https://doi.org/10.1016/j.jfa.2017.11.006" @default.
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