Toscani, Giuseppe The information-theoretic meaning of Gagliardo-Nirenberg type inequalities. (English) Zbl 1423.35136 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 2, 237-253 (2019). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K05 35K55 94A17 PDFBibTeX XMLCite \textit{G. Toscani}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 2, 237--253 (2019; Zbl 1423.35136) Full Text: DOI arXiv
Toscani, Giuseppe Poincaré-type inequalities for stable densities. (English) Zbl 1422.60038 Ric. Mat. 68, No. 1, 225-236 (2019). MSC: 60F05 94A17 26A33 PDFBibTeX XMLCite \textit{G. Toscani}, Ric. Mat. 68, No. 1, 225--236 (2019; Zbl 1422.60038) Full Text: DOI
Toscani, Giuseppe Score functions, generalized relative Fisher information and applications. (English) Zbl 1374.60028 Ric. Mat. 66, No. 1, 15-26 (2017). MSC: 60F05 94A17 26A33 PDFBibTeX XMLCite \textit{G. Toscani}, Ric. Mat. 66, No. 1, 15--26 (2017; Zbl 1374.60028) Full Text: DOI
Toscani, Giuseppe Entropy inequalities for stable densities and strengthened central limit theorems. (English) Zbl 1356.60039 J. Stat. Phys. 165, No. 2, 371-389 (2016). MSC: 60F05 94A17 26A33 PDFBibTeX XMLCite \textit{G. Toscani}, J. Stat. Phys. 165, No. 2, 371--389 (2016; Zbl 1356.60039) Full Text: DOI arXiv
Toscani, Giuseppe The fractional Fisher information and the central limit theorem for stable laws. (English) Zbl 1366.60064 Ric. Mat. 65, No. 1, 71-91 (2016). MSC: 60F05 26A33 94A17 PDFBibTeX XMLCite \textit{G. Toscani}, Ric. Mat. 65, No. 1, 71--91 (2016; Zbl 1366.60064) Full Text: DOI arXiv
Dolbeault, Jean; Toscani, Giuseppe Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays. (English) Zbl 1334.35098 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 31-43 (2016). MSC: 35K55 35K65 35B40 46E35 39B62 49J40 PDFBibTeX XMLCite \textit{J. Dolbeault} and \textit{G. Toscani}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 31--43 (2016; Zbl 1334.35098) Full Text: DOI arXiv
Toscani, Giuseppe Rényi entropies and nonlinear diffusion equations. (English) Zbl 1308.94044 Acta Appl. Math. 132, No. 1, 595-604 (2014). MSC: 94A17 60E99 PDFBibTeX XMLCite \textit{G. Toscani}, Acta Appl. Math. 132, No. 1, 595--604 (2014; Zbl 1308.94044) Full Text: DOI arXiv
Dolbeault, Jean; Toscani, Giuseppe Improved interpolation inequalities, relative entropy and fast diffusion equations. (English) Zbl 1450.46020 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 5, 917-934 (2013). MSC: 46E35 26D10 35K55 PDFBibTeX XMLCite \textit{J. Dolbeault} and \textit{G. Toscani}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 5, 917--934 (2013; Zbl 1450.46020) Full Text: DOI arXiv
Matthes, Daniel; Jüngel, Ansgar; Toscani, Giuseppe Convex Sobolev inequalities derived from entropy dissipation. (English) Zbl 1229.35302 Arch. Ration. Mech. Anal. 199, No. 2, 563-596 (2011). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q84 35Q92 PDFBibTeX XMLCite \textit{D. Matthes} et al., Arch. Ration. Mech. Anal. 199, No. 2, 563--596 (2011; Zbl 1229.35302) Full Text: DOI
Furioli, G.; Pulvirenti, A.; Terraneo, E.; Toscani, G. Convergence to self-similarity for the Boltzmann equation for strongly inelastic Maxwell molecules. (English) Zbl 1425.82016 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 2, 719-737 (2010). MSC: 82C40 76P05 35Q20 PDFBibTeX XMLCite \textit{G. Furioli} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 2, 719--737 (2010; Zbl 1425.82016) Full Text: DOI
Salvarani, Francesco; Toscani, Giuseppe The diffusive limit of Carleman-type models in the range of very fast diffusion equations. (English) Zbl 1239.35070 J. Evol. Equ. 9, No. 1, 67-80 (2009). MSC: 35K57 35F20 35C06 PDFBibTeX XMLCite \textit{F. Salvarani} and \textit{G. Toscani}, J. Evol. Equ. 9, No. 1, 67--80 (2009; Zbl 1239.35070) Full Text: DOI
Cáceres, María J.; Toscani, Giuseppe Kinetic approach to long time behavior of linearized fast diffusion equations. (English) Zbl 1131.82030 J. Stat. Phys. 128, No. 4, 883-925 (2007). Reviewer: Bassano Vacchini (Milano) MSC: 82C31 35B40 76R50 76S05 82C40 PDFBibTeX XMLCite \textit{M. J. Cáceres} and \textit{G. Toscani}, J. Stat. Phys. 128, No. 4, 883--925 (2007; Zbl 1131.82030) Full Text: DOI
Carrillo, J. A.; Di Francesco, M.; Toscani, G. Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering. (English) Zbl 1125.35053 Proc. Am. Math. Soc. 135, No. 2, 353-363 (2007). Reviewer: Vladimir N. Grebenev (Novosibirsk) MSC: 35K65 35B40 35K15 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Proc. Am. Math. Soc. 135, No. 2, 353--363 (2007; Zbl 1125.35053) Full Text: DOI
Carrillo, José A.; Di Francesco, Marco; Toscani, Giuseppe Intermediate asymptotics beyond homogeneity and self-similarity: long time behavior for \(u_t = \Delta\varphi(u)\). (English) Zbl 1096.35015 Arch. Ration. Mech. Anal. 180, No. 1, 127-149 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35B40 35K65 35K15 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Arch. Ration. Mech. Anal. 180, No. 1, 127--149 (2006; Zbl 1096.35015) Full Text: DOI
Salvarani, F.; Toscani, G. Large-time asymptotics for nonlinear diffusions: the initial-boundary value problem. (English) Zbl 1076.35057 J. Math. Phys. 46, No. 2, 023502, 11 p. (2005). MSC: 35K57 35B40 PDFBibTeX XMLCite \textit{F. Salvarani} and \textit{G. Toscani}, J. Math. Phys. 46, No. 2, 023502, 11 p. (2005; Zbl 1076.35057) Full Text: DOI Link
Carrillo, José Antonio; Gualdani, Maria Pia; Toscani, Giuseppe Finite speed of propagation in porous media by mass transportation methods. (English) Zbl 1049.35110 C. R., Math., Acad. Sci. Paris 338, No. 10, 815-818 (2004). MSC: 35K65 35K15 35B05 35K57 76S05 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., C. R., Math., Acad. Sci. Paris 338, No. 10, 815--818 (2004; Zbl 1049.35110) Full Text: DOI Link