Fila, Marek; Winkler, Michael A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation. (English) Zbl 1428.26026 Adv. Math. 357, Article ID 106823, 40 p. (2019). MSC: 26D10 35B40 35K65 PDFBibTeX XMLCite \textit{M. Fila} and \textit{M. Winkler}, Adv. Math. 357, Article ID 106823, 40 p. (2019; Zbl 1428.26026) Full Text: DOI arXiv
Fila, Marek; Winkler, Michael Rate of convergence to separable solutions of the fast diffusion equation. (English) Zbl 1348.35120 Isr. J. Math. 213, 1-32 (2016). Reviewer: Jörg Härterich (Bochum) MSC: 35K65 35K15 35B40 35B35 PDFBibTeX XMLCite \textit{M. Fila} and \textit{M. Winkler}, Isr. J. Math. 213, 1--32 (2016; Zbl 1348.35120) Full Text: DOI arXiv
Fila, Marek; Winkler, Michael Optimal rates of convergence to the singular Barenblatt profile for the fast diffusion equation. (English) Zbl 1349.35168 Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 2, 309-324 (2016). Reviewer: Georg Hetzer (Auburn) MSC: 35K55 35K59 35B40 35K10 35K67 35Q84 PDFBibTeX XMLCite \textit{M. Fila} and \textit{M. Winkler}, Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 2, 309--324 (2016; Zbl 1349.35168) Full Text: DOI
Fila, Marek; Stuke, Hannes Very slow stabilization for a nonlinear Fokker-Planck equation. (English) Zbl 1345.35115 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 93-110 (2016). Reviewer: Stephen Wollman (New York) MSC: 35Q84 35B40 35K55 PDFBibTeX XMLCite \textit{M. Fila} and \textit{H. Stuke}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 93--110 (2016; Zbl 1345.35115) Full Text: DOI
Fila, Marek; Winkler, Michael Sharp rate of convergence to Barenblatt profiles for a critical fast diffusion equation. (English) Zbl 1321.35102 Commun. Pure Appl. Anal. 14, No. 1, 107-119 (2015). MSC: 35K65 35B40 PDFBibTeX XMLCite \textit{M. Fila} and \textit{M. Winkler}, Commun. Pure Appl. Anal. 14, No. 1, 107--119 (2015; Zbl 1321.35102) Full Text: DOI Link
Fila, M.; King, J. R.; Winkler, M. Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent. (English) Zbl 1295.35085 J. Lond. Math. Soc., II. Ser. 90, No. 1, 167-183 (2014). MSC: 35B40 35K65 35K59 35B33 35K15 35Q84 PDFBibTeX XMLCite \textit{M. Fila} et al., J. Lond. Math. Soc., II. Ser. 90, No. 1, 167--183 (2014; Zbl 1295.35085) Full Text: DOI arXiv
Fila, Marek; Stuke, Hannes Special asymptotics for a critical fast diffusion equation. (English) Zbl 1284.35239 Discrete Contin. Dyn. Syst., Ser. S 7, No. 4, 725-735 (2014). MSC: 35K65 35B40 PDFBibTeX XMLCite \textit{M. Fila} and \textit{H. Stuke}, Discrete Contin. Dyn. Syst., Ser. S 7, No. 4, 725--735 (2014; Zbl 1284.35239) Full Text: DOI
Fila, Marek; Vázquez, Juan Luis; Winkler, Michael; Yanagida, Eiji Rate of convergence to Barenblatt profiles for the fast diffusion equation. (English) Zbl 1315.76032 Arch. Ration. Mech. Anal. 204, No. 2, 599-625 (2012). MSC: 76R50 35Q35 PDFBibTeX XMLCite \textit{M. Fila} et al., Arch. Ration. Mech. Anal. 204, No. 2, 599--625 (2012; Zbl 1315.76032) Full Text: DOI arXiv