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Note on smoothing estimates for Kolmogorov type equations

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  • Yasunori Maekawa

    (Kyoto University)

Abstract

In this paper we give the weighted $$L^2$$ L 2 estimate for the solution to the Kolmogorov type equations, where the classical Vlasov-Fokker-Planck equation and the heat with a drift term by the shear flows are contained as the typical examples. Our estimate gives the classical smoothing rate of the order $$\frac{2}{3}$$ 2 3 in a suitable weighted norm.

Suggested Citation

  • Yasunori Maekawa, 2021. "Note on smoothing estimates for Kolmogorov type equations," Partial Differential Equations and Applications, Springer, vol. 2(6), pages 1-12, December.
    • Handle: RePEc:spr:pardea:v:2:y:2021:i:6:d:10.1007_s42985-021-00135-2
    DOI: 10.1007/s42985-021-00135-2
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    References listed on IDEAS

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    1. Пигнастый, Олег & Koжевников, Георгий, 2019. "Распределенная Динамическая Pde-Модель Программного Управления Загрузкой Технологического Оборудования Производственной Линии [Distributed dynamic PDE-model of a program control by utilization of t," MPRA Paper 93278, University Library of Munich, Germany, revised 02 Feb 2019.
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