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Creators/Authors contains: "Yastrzhembskiy, Timur"

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  1. ; (, Advanced Nonlinear Studies)
    Abstract We present global Schauder type estimates in all variables and unique solvability results in kinetic Hölder spaces for kinetic Kolmogorov-Fokker-Planck (KFP) equations. The leading coefficients are Hölder continuous in thex,vvariables and are merely measurable in the temporal variable. Our proof is inspired by Campanato’s approach to Schauder estimates and does not rely on the estimates of the fundamental solution of the KFP operator. 
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    Free, publicly-accessible full text available March 12, 2026
  2. ; ; ; (, SIAM Journal on Mathematical Analysis)
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  3. ; (, SIAM Journal on Mathematical Analysis)
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  4. ; (, Archive for Rational Mechanics and Analysis)
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  5. ; ; (, Kinetic and Related Models)
    We establish existence of finite energy weak solutions to the kinetic Fokker-Planck equation and the linear Landau equation near Maxwellian, in the presence of specular reflection boundary condition for general domains. Moreover, by using a method of reflection and the \begin{document}$$ S_p $$\end{document} estimate of [7], we prove regularity in the kinetic Sobolev spaces \begin{document}$$ S_p $$\end{document} and anisotropic Hölder spaces for such weak solutions. Such \begin{document}$$ S_p $$\end{document} regularity leads to the uniqueness of weak solutions. 
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