2007 / December Volume 2 No.4
$L^1$-continuous dependence of mild solutions to the Fokker-Planck-Boltzmann equation
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2007 / December
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Title | $L^1$-continuous dependence of mild solutions to the Fokker-Planck-Boltzmann equation |
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Pagination | 893-905 |
Abstract | We present a uniform $L^1$-stability estimate for mild solutions to the Fokker-Planck-Boltzmann equation. For stability estimate, we derive a Gronwall type estimate using dispersion estimates for mild solutions due to the hypoelliptic structure of the Vlasov-Fokker-Planck operator.
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AMS Subject Classification |
35L60
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Received |
2007-07-17
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