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

Irene M. Gamba; Maria Pia Gualdani; Christof Sparber

doi:10.3934/krm.2009.2.181

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2009, Volume 2, Issue 1: 181-189. Doi: 10.3934/krm.2009.2.181

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

1.
Department of Mathematics, The University of Texas at Austin, 1 University Station C1200, Texas 78712
2.
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA

Received: October 31, 2008

Revised: October 31, 2008

Published: February 2009

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Abstract

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.

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Mathematics Subject Classification: Primary: 35Q40, 35B20; Secondary: 35B40.

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