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<p>We study the asymptotic behaviour at infinity of solutions to the Cauchy problem for the Fokker–Planck–Kolmogorov equation. Our main result is an estimate for the difference of two solutions with different initial conditions in the weighted total variation norm in the case when the coefficients depend on time.</p>

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Asymptotic behaviour of solutions to Fokker–Planck–Kolmogorov equations

  • 期刊论文

  • 发表日期：

    2025年7月4日

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  • Vladimir I. Bogachev,
  • Tikhon I. Krasovitskii,
  • Michael Röckner,
  • Stanislav V. Shaposhnikov

摘要

We study the asymptotic behaviour at infinity of solutions to the Cauchy problem for the Fokker–Planck–Kolmogorov equation. Our main result is an estimate for the difference of two solutions with different initial conditions in the weighted total variation norm in the case when the coefficients depend on time.