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- W2738564618 abstract "We study the massive two dimensional Dirac operator with an electric potential. In particular, we show that the $t^{-1}$ decay rate holds in the $L^1to L^infty$ setting if the threshold energies are regular. We also show these bounds hold in the presence of s-wave resonances at the threshold. We further show that, if the threshold energies are regular that a faster decay rate of $t^{-1}(log t)^{-2}$ is attained for large $t$, at the cost of logarithmic spatial weights. The free Dirac equation does not satisfy this bound due to the s-wave resonances at the threshold energies." @default.
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- W2738564618 date "2018-05-01" @default.
- W2738564618 modified "2023-10-15" @default.
- W2738564618 title "Dispersive estimates for massive Dirac operators in dimension two" @default.
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- W2738564618 doi "https://doi.org/10.1016/j.jde.2018.01.019" @default.
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