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A note on the time decay of solutions for the linearized Wigner-Poisson system

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  • We consider the one-dimensional Wigner-Poisson system of plasma physics, linearized around a (spatially homogeneous) Lorentzian distribution and prove that the solution of the corresponding linearized problem decays to zero in time. We also give an explicit algebraic decay rate.
    Mathematics Subject Classification: Primary: 35Q40, 35B20; Secondary: 35B40.

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