Inégalités de Sobolev et minorations du semi-groupe de la chaleur
Dominique Bakry; Dominique Michel
Annales de la Faculté des sciences de Toulouse : Mathématiques (1990)
- Volume: 11, Issue: 2, page 23-66
- ISSN: 0240-2963
Access Full Article
topHow to cite
topReferences
top- [A] Aubin ( T.) . — Non linear analysis on manifolds, Monge-Ampère equations, Springer, Berlin-Heidelberg, New-York (1982) Zbl0512.53044
- [CS] Carlen ( E.) and Stroock ( D.W.) .— Hypercontractivity, ultracontractivity, Sobolev inequalities and all that, Preprint (1984)
- [CKS] Carlen ( E.), Kusuoka ( S.) and Stroock ( D.W.) .— Upperbounds for symmetric Markov transition functions, Ann. Inst. H. Poincaré23 (1987) pp. 245-287 Zbl0634.60066MR898496
- [D] Davies ( E.B.) .— Heat kernels and spectral theory, Cambridge Univ. Press.Berlin-Heidelberg, New-York (1989) Zbl0699.35006MR990239
- [DS] Davies ( E.B.) and Simon ( B.) .— Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet laplacians, J. Funct. Anal.59 (1984) pp. 335-395 Zbl0568.47034MR766493
- [DSt] Deuschel ( J.D.) and Strook ( D.W.) .— Large deviations, Ac. Press137 (1989) Zbl0705.60029MR997938
- [G] Gross ( L.) .— Logarithmic Sobolev inequalities, Amer. J. Math.97 (1976) pp. 1061-1083 Zbl0318.46049MR420249
- [V] Varopoulos ( N.) .— Hardy-Littlewood theory for semigroups, J. Funct. Anal.63 (1985) pp. 240-260 Zbl0608.47047MR803094