Abstract:
We prove that weak bounded solutions to the Vlasov equation with BV coefficients have the renormalization property, and we show that when the renormalization property holds for a general transport equation, it also holds for only Lipschitz nonlinearities.
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Accepted December 1, 2000¶Published online March 7, 2001
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Bouchut, F. Renormalized Solutions to the Vlasov Equation with Coefficients of Bounded Variation. Arch. Rational Mech. Anal. 157, 75–90 (2001). https://doi.org/10.1007/PL00004237
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DOI: https://doi.org/10.1007/PL00004237