Brigati, Giovanni; Dolbeault, Jean; Simonov, Nikita On Gaussian interpolation inequalities. (Sur des inégalités d’interpolation Gaussiennes.) (English. French summary) Zbl 07816874 C. R., Math., Acad. Sci. Paris 362, 21-44 (2024). MSC: 26D10 46T12 46E35 39B62 43A90 49J40 58E35 PDFBibTeX XMLCite \textit{G. Brigati} et al., C. R., Math., Acad. Sci. Paris 362, 21--44 (2024; Zbl 07816874) Full Text: DOI arXiv
Navas, Andrés On conjugates and the asymptotic distortion of one-dimensional \(C^{1+bv}\) diffeomorphisms. (English) Zbl 1510.37070 Int. Math. Res. Not. 2023, No. 1, 372-405 (2023). MSC: 37E10 37C05 37C40 37B40 58D05 PDFBibTeX XMLCite \textit{A. Navas}, Int. Math. Res. Not. 2023, No. 1, 372--405 (2023; Zbl 1510.37070) Full Text: DOI arXiv
Ji, Yucheng Remarks on entropy formulae for linear heat equation. (English) Zbl 1500.53097 Differ. Geom. Appl. 84, Article ID 101926, 11 p. (2022). MSC: 53E99 58J35 PDFBibTeX XMLCite \textit{Y. Ji}, Differ. Geom. Appl. 84, Article ID 101926, 11 p. (2022; Zbl 1500.53097) Full Text: DOI arXiv
Wang, Yu-Zhao; Wang, Yan-Mei The concavity of \(p\)-Rényi entropy power for doubly nonlinear diffusion equations and \(L^p\)-Gagliardo-Nirenberg-Sobolev inequalities. (English) Zbl 1431.58014 J. Math. Anal. Appl. 484, No. 1, Article ID 123698, 18 p. (2020). MSC: 58J65 60E15 PDFBibTeX XMLCite \textit{Y.-Z. Wang} and \textit{Y.-M. Wang}, J. Math. Anal. Appl. 484, No. 1, Article ID 123698, 18 p. (2020; Zbl 1431.58014) Full Text: DOI arXiv
Hauer, Daniel; Mazón, José M. Kurdyka-Łojasiewicz-Simon inequality for gradient flows in metric spaces. (English) Zbl 1425.49023 Trans. Am. Math. Soc. 372, No. 7, 4917-4976 (2019). MSC: 49Q20 49J52 39B62 35K90 58J35 PDFBibTeX XMLCite \textit{D. Hauer} and \textit{J. M. Mazón}, Trans. Am. Math. Soc. 372, No. 7, 4917--4976 (2019; Zbl 1425.49023) Full Text: DOI arXiv
Wang, Yu-Zhao; Zhang, Xinxin The concavity of \(p\)-entropy power and applications in functional inequalities. (English) Zbl 1404.35273 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 179, 1-14 (2019). MSC: 35K92 58J35 PDFBibTeX XMLCite \textit{Y.-Z. Wang} and \textit{X. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 179, 1--14 (2019; Zbl 1404.35273) Full Text: DOI arXiv
Li, Songzi; Li, Xiang-Dong Hamilton differential Harnack inequality and \(W\)-entropy for Witten Laplacian on Riemannian manifolds. (English) Zbl 1386.53082 J. Funct. Anal. 274, No. 11, 3263-3290 (2018). MSC: 53C44 58J35 58J65 60J60 60H30 PDFBibTeX XMLCite \textit{S. Li} and \textit{X.-D. Li}, J. Funct. Anal. 274, No. 11, 3263--3290 (2018; Zbl 1386.53082) Full Text: DOI arXiv
Lehec, Joseph Borell’s formula on a Riemannian manifold and applications. (English) Zbl 1380.58028 Carlen, Eric (ed.) et al., Convexity and concentration. New York, NY: Springer (ISBN 978-1-4939-7004-9/hbk; 978-1-4939-7005-6/ebook). The IMA Volumes in Mathematics and its Applications 161, 267-284 (2017). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 60J65 39B72 PDFBibTeX XMLCite \textit{J. Lehec}, IMA Vol. Math. Appl. 161, 267--284 (2017; Zbl 1380.58028) Full Text: DOI arXiv
Qian, Bin Differential Harnack inequalities and Perelman type entropy formulae for subelliptic operators. (English) Zbl 1366.53027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 155, 163-175 (2017). MSC: 53C21 58J35 PDFBibTeX XMLCite \textit{B. Qian}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 155, 163--175 (2017; Zbl 1366.53027) Full Text: DOI arXiv
Kondratyev, Stanislav; Monsaingeon, Léonard; Vorotnikov, Dmitry A fitness-driven cross-diffusion system from population dynamics as a gradient flow. (English) Zbl 1343.35132 J. Differ. Equations 261, No. 5, 2784-2808 (2016). Reviewer: Luisa Consiglieri (Lisboa) MSC: 35K51 35K65 35Q92 49Q20 58B20 92D40 PDFBibTeX XMLCite \textit{S. Kondratyev} et al., J. Differ. Equations 261, No. 5, 2784--2808 (2016; Zbl 1343.35132) Full Text: DOI arXiv
Ceccon, Jurandir General optimal \(L^p\)-Nash inequalities on Riemannian manifolds. (English) Zbl 1337.35005 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 15, Spec. Iss., 435-457 (2016). MSC: 35A23 53B20 53B21 58J35 PDFBibTeX XMLCite \textit{J. Ceccon}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 15, 435--457 (2016; Zbl 1337.35005) Full Text: DOI
Li, Xiang-Dong Hamilton’s Harnack inequality and the \(W\)-entropy formula on complete Riemannian manifolds. (English) Zbl 1332.58011 Stochastic Processes Appl. 126, No. 4, 1264-1283 (2016). MSC: 58J65 58J60 58J35 PDFBibTeX XMLCite \textit{X.-D. Li}, Stochastic Processes Appl. 126, No. 4, 1264--1283 (2016; Zbl 1332.58011) Full Text: DOI arXiv
Ceccon, Jurandir; Montenegro, Marcos Sharp \(L^p\)-entropy inequalities on manifolds. (English) Zbl 1323.58012 J. Funct. Anal. 269, No. 6, 1591-1619 (2015). MSC: 58J05 35J92 41A44 35J87 26D10 PDFBibTeX XMLCite \textit{J. Ceccon} and \textit{M. Montenegro}, J. Funct. Anal. 269, No. 6, 1591--1619 (2015; Zbl 1323.58012) Full Text: DOI arXiv
Wang, Yuzhao; Chen, Wenyi Gradient estimates and entropy monotonicity formula for doubly nonlinear diffusion equations on Riemannian manifolds. (English) Zbl 1318.58014 Math. Methods Appl. Sci. 37, No. 17, 2772-2781 (2014). MSC: 58J35 35K55 58J65 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{W. Chen}, Math. Methods Appl. Sci. 37, No. 17, 2772--2781 (2014; Zbl 1318.58014) Full Text: DOI
Dolbeault, Jean; Nazaret, Bruno; Savaré, Giuseppe From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach. (English) Zbl 1264.26011 SIAM J. Math. Anal. 44, No. 5, 3186-3216 (2012). Reviewer: Jacques Franchi (Strasbourg) MSC: 26A51 26D10 53D25 39B72 39B62 58J35 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., SIAM J. Math. Anal. 44, No. 5, 3186--3216 (2012; Zbl 1264.26011) Full Text: DOI arXiv
Wang, Lin-Feng A new entropy formula for the linear heat equation. (English) Zbl 1239.58018 Arch. Math. 96, No. 5, 473-481 (2011). Reviewer: Sylvain Golenia (Erlangen) MSC: 58J35 53C21 74G65 PDFBibTeX XMLCite \textit{L.-F. Wang}, Arch. Math. 96, No. 5, 473--481 (2011; Zbl 1239.58018) Full Text: DOI
Li, Junfang; Xu, Xiangjin Differential Harnack inequalities on Riemannian manifolds. I: Linear heat equation. (English) Zbl 1226.58009 Adv. Math. 226, No. 5, 4456-4491 (2011). Reviewer: Wolfram Bauer (Göttingen) MSC: 58J35 35K05 53C20 53C25 PDFBibTeX XMLCite \textit{J. Li} and \textit{X. Xu}, Adv. Math. 226, No. 5, 4456--4491 (2011; Zbl 1226.58009) Full Text: DOI arXiv
Arnaudon, Marc; Thalmaier, Anton; Wang, Feng-Yu Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds. (English) Zbl 1178.58013 Stochastic Processes Appl. 119, No. 10, 3653-3670 (2009). Reviewer: Raouf Ghomrasni (Muizenberg) MSC: 58J65 58J35 60H30 PDFBibTeX XMLCite \textit{M. Arnaudon} et al., Stochastic Processes Appl. 119, No. 10, 3653--3670 (2009; Zbl 1178.58013) Full Text: DOI arXiv
LeFloch, Philippe G.; Okutmustur, Baver; Neves, Wladimir Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes. (English) Zbl 1178.35251 Acta Math. Sin., Engl. Ser. 25, No. 7, 1041-1066 (2009). MSC: 35L65 76L05 58J45 35A35 65M15 35L60 PDFBibTeX XMLCite \textit{P. G. LeFloch} et al., Acta Math. Sin., Engl. Ser. 25, No. 7, 1041--1066 (2009; Zbl 1178.35251) Full Text: DOI arXiv
Döring, Maik; Stannat, Wilhelm The logarithmic Sobolev inequality for the Wasserstein diffusion. (English) Zbl 1173.58014 Probab. Theory Relat. Fields 145, No. 1-2, 189-209 (2009). Reviewer: Raouf Ghomrasni (Muizenberg) MSC: 58J65 47D07 28A33 35P15 60J35 PDFBibTeX XMLCite \textit{M. Döring} and \textit{W. Stannat}, Probab. Theory Relat. Fields 145, No. 1--2, 189--209 (2009; Zbl 1173.58014) Full Text: DOI
Wang, Feng-Yu Entropy-cost inequalities for diffusion semigroups with curvature unbounded below. (English) Zbl 1151.58021 Proc. Am. Math. Soc. 136, No. 9, 3331-3338 (2008). Reviewer: Simon Eloshvili (Tbilisi) MSC: 58J65 60J60 PDFBibTeX XMLCite \textit{F.-Y. Wang}, Proc. Am. Math. Soc. 136, No. 9, 3331--3338 (2008; Zbl 1151.58021) Full Text: DOI
Lott, John Optimal transport and Ricci curvature for metric-measure spaces. (English) Zbl 1155.53026 Cheeger, Jeffrey (ed.) et al., Metric and comparison geometry. Surveys in differential geometry. Vol. XI. Somerville, MA: International Press (ISBN 978-1-57146-117-9/hbk). Surveys in Differential Geometry 11, 229-257 (2007). Reviewer: Mircea Craioveanu (Timişoara) MSC: 53C23 53C21 60B05 60B10 58C35 PDFBibTeX XMLCite \textit{J. Lott}, Surv. Differ. Geom. 11, 229--257 (2007; Zbl 1155.53026) Full Text: arXiv
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei The Ricci flow: techniques and applications. Part I: Geometric aspects. (English) Zbl 1157.53034 Mathematical Surveys and Monographs 135. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3946-1/hbk). xxiii, 536 p. (2007). Reviewer: Ana Pereira do Vale (Braga) MSC: 53C44 35K55 35K05 53C25 53-02 58J35 57M50 PDFBibTeX XMLCite \textit{B. Chow} et al., The Ricci flow: techniques and applications. Part I: Geometric aspects. Providence, RI: American Mathematical Society (AMS) (2007; Zbl 1157.53034) Backlinks: MO
Cattiaux, Patrick; Guillin, Arnaud On quadratic transportation cost inequalities. (English) Zbl 1118.58017 J. Math. Pures Appl. (9) 86, No. 4, 342-361 (2006). Reviewer: René L. Schilling (Dresden) MSC: 58J65 47D07 60E15 60G10 PDFBibTeX XMLCite \textit{P. Cattiaux} and \textit{A. Guillin}, J. Math. Pures Appl. (9) 86, No. 4, 342--361 (2006; Zbl 1118.58017) Full Text: DOI
Branson, Thomas; Ørsted, Bent Spontaneous generation of eigenvalues. (English) Zbl 1101.58021 J. Geom. Phys. 56, No. 11, 2261-2278 (2006). MSC: 58J50 53C27 PDFBibTeX XMLCite \textit{T. Branson} and \textit{B. Ørsted}, J. Geom. Phys. 56, No. 11, 2261--2278 (2006; Zbl 1101.58021) Full Text: DOI arXiv
Chafaï, Djalil Entropies, convexity, and functional inequalities: on \(\Phi\)-entropies and \(\Phi\)-Sobolev inequalities. (English) Zbl 1079.26009 J. Math. Kyoto Univ. 44, No. 2, 325-363 (2004). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 26D10 39B72 60J60 58D25 58J65 47D07 94A17 PDFBibTeX XMLCite \textit{D. Chafaï}, J. Math. Kyoto Univ. 44, No. 2, 325--363 (2004; Zbl 1079.26009) Full Text: DOI arXiv Euclid
Chow, Bennett; Knopf, Dan The Ricci flow: an introduction. (English) Zbl 1086.53085 Mathematical Surveys and Monographs 110. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3515-7/hbk). xii, 325 p. (2004). Reviewer: Christine Guenther (Forest Grove) MSC: 53C44 35K55 53-02 58J35 57M50 PDFBibTeX XMLCite \textit{B. Chow} and \textit{D. Knopf}, The Ricci flow: an introduction. Providence, RI: American Mathematical Society (AMS) (2004; Zbl 1086.53085)
Bakry, D.; Concordet, D.; Ledoux, M. Optimal heat kernel bounds under logarithmic Sobolev inequalities. (English) Zbl 0898.58052 ESAIM, Probab. Stat. 1, 391-407 (1997). Reviewer: S.Eloshvili (Tbilisi) MSC: 58J35 58J65 PDFBibTeX XMLCite \textit{D. Bakry} et al., ESAIM, Probab. Stat. 1, 391--407 (1997; Zbl 0898.58052) Full Text: DOI EuDML
Pollicott, Mark Lectures on ergodic theory and Pesin theory on compact manifolds. (English) Zbl 0772.58001 London Mathematical Society Lecture Note Series. 180. Cambridge: Cambridge University Press. ix, 162 p. (1993). Reviewer: R.Cowen (Gaborone) MSC: 58-02 37A99 37D99 PDFBibTeX XMLCite \textit{M. Pollicott}, Lectures on ergodic theory and Pesin theory on compact manifolds. Cambridge: Cambridge University Press (1993; Zbl 0772.58001)
Sever, Michael Existence in the large for Riemann problems for system of conservation laws. (English) Zbl 0591.35037 Trans. Am. Math. Soc. 292, 375-381 (1985). Reviewer: M.Tsuji MSC: 35L65 35L60 35L67 58J20 PDFBibTeX XMLCite \textit{M. Sever}, Trans. Am. Math. Soc. 292, 375--381 (1985; Zbl 0591.35037) Full Text: DOI