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Classical solutions for the Vlasov–Poisson system with damping term

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ABSTRACT We investigate global existence of classical solution to the three dimensional Vlasov–Poisson system with radiation damping . We prove that a small perturbation of initial datum for a global… Click to show full abstract

ABSTRACT We investigate global existence of classical solution to the three dimensional Vlasov–Poisson system with radiation damping . We prove that a small perturbation of initial datum for a global classical solution verifying certain decay conditions also launches a global solution which has sharp decay. In addition, we prove that a quasineutral initial datum launches a global classical solution.

Keywords: poisson system; vlasov poisson; classical solution

Journal Title: Applicable Analysis
Year Published: 2019

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