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• W2015347981 abstract "This letter is devoted to results on intermediate asymptotics for the heat equation. We study the convergence towards a stationary solution in self-similar variables. By assuming the equality of some moments of the initial data and of the stationary solution, we get improved convergence rates using entropy/entropy-production methods. We establish the equivalence of the exponential decay of the entropies with new, improved functional inequalities in restricted classes of functions. This letter is the counterpart in a linear framework of a recent work on fast diffusion equations; see Bonforte et al. (2009) [18]. The results extend to the case of a Fokker–Planck equation with a general confining potential." @default.
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• W2015347981 date "2011-01-01" @default.
• W2015347981 modified "2023-10-02" @default.
• W2015347981 title "Improved intermediate asymptotics for the heat equation" @default.
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• W2015347981 doi "https://doi.org/10.1016/j.aml.2010.08.020" @default.
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