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In questo articolo vengono studiate alcune proprietà di regolarità della soluzione dell'equazione di Kac senza cutoff. Introducendo opportuni funzionali di Lyapunov si prova che l'equazione senza cutoff converge all'equilibrio in vari spazi di Sobolev.
Abstract
This paper is devoted to the study of some regularity properties of the solution to the non cutoff Kac equation. By introducing suitable Lyapunov functionals we prove that the solution to the non cutoff Kac equation converges to equilibrium in various Sobolev spaces.
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Pareschi, L. Regularity results for the non cutoff Kac equation. Ann. Univ. Ferrara 42, 31–50 (1996). https://doi.org/10.1007/BF02955018
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DOI: https://doi.org/10.1007/BF02955018