Centre de diffusion de revues académiques mathématiques

 
 
 
 

Journées équations aux dérivées partielles

Table des matières de ce volume | Article précédent | Article suivant
Dominique Bakry; François Bolley; Ivan Gentil
Around Nash inequalities
Journées équations aux dérivées partielles (2010), Exp. No. 2, 16 p., doi: 10.5802/jedp.59
Article PDF

Bibliographie

[1] D. Bakry, L’hypercontractivité et son utilisation en théorie des semigroupes, Lectures on probability theory (Saint-Flour, 1992), Lecture Notes in Math. 1581, Springer, 1994, p. 1–114  MR 1307413 |  Zbl 0856.47026
[2] D. Bakry, F. Bolley, I. Gentil & P. Maheux, “Weighted Nash inequalities”, Preprint arXiv
[3] D. Bakry, T. Coulhon, M. Ledoux & L. Saloff-Coste, “Sobolev inequalities in disguise”, Indiana Univ. Math. J. 44 (1995) no. 4, p. 1033-1074 Article |  MR 1386760 |  Zbl 0857.26006
[4] D. Bakry & M. Ledoux, “Sobolev inequalities and Myers’s diameter theorem for an abstract Markov generator”, Duke Math. J. 85 (1996) no. 1, p. 253-270 Article |  MR 1412446 |  Zbl 0870.60071
[5] A. Bendikov, T. Coulhon & L. Saloff-Coste, “Ultracontractivity and embedding into $L^\infty $”, Math. Ann. 337 (2007) no. 4, p. 817-853  MR 2285739 |  Zbl 1132.47031
[6] E. A. Carlen & M. Loss, “Sharp constant in Nash’s inequality”, Internat. Math. Res. Notices 7 (1993), p. 213-215 Article |  MR 1230297 |  Zbl 0822.35018
[7] E. B. Davies, Heat kernels and spectral theory, Cambridge Tracts in Mathematics 92, Cambridge University Press, Cambridge, 1990  MR 1103113 |  Zbl 0699.35006
[8] L. Gross, “Logarithmic Sobolev inequalities”, Amer. J. Math. 97 (1975) no. 4, p. 1061-1083  MR 420249 |  Zbl 0318.46049
[9] J. Nash, “Continuity of solutions of parabolic and elliptic equations”, Amer. J. Math. 80 (1958), p. 931-954  MR 100158 |  Zbl 0096.06902
[10] E. Nelson, “The free Markoff field”, J. Functional Analysis 12 (1973), p. 211-227  MR 343816 |  Zbl 0273.60079
[11] N. Th. Varopoulos, “Hardy-Littlewood theory for semigroups”, J. Funct. Anal. 63 (1985) no. 2, p. 240-260 Article |  MR 803094 |  Zbl 0608.47047
[12] F.-Y. Wang, “Functional inequalities for empty essential spectrum”, J. Funct. Anal. 170 (2000) no. 1, p. 219-245 Article |  MR 1736202 |  Zbl 0946.58010
[13] F.-Y. Wang, “Functional inequalities and spectrum estimates: the infinite measure case”, J. Funct. Anal. 194 (2002) no. 2, p. 288-310  MR 1934605 |  Zbl 1021.58007
Copyright Cellule MathDoc 2018 | Crédit | Plan du site