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- W3100209802 abstract "We investigate $L^1to L^infty$ dispersive estimates for the three dimensional Dirac equation with a potential. We also classify the structure of obstructions at the thresholds of the essential spectrum as being composed of a two dimensional space of resonances and finitely many eigenfunctions. We show that, as in the case of the Schrodinger evolution, the presence of a threshold obstruction generically leads to a loss of the natural $t^{-frac32}$ decay rate. In this case we show that the solution operator is composed of a finite rank operator that decays at the rate $t^{-frac12}$ plus a term that decays at the rate $t^{-frac32}$." @default.
- W3100209802 created "2020-11-23" @default.
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- W3100209802 date "2019-01-01" @default.
- W3100209802 modified "2023-10-15" @default.
- W3100209802 title "Dispersive estimates for Dirac operators in dimension three with obstructions at threshold energies" @default.
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- W3100209802 doi "https://doi.org/10.1353/ajm.2019.0031" @default.
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