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Volumn 129, Issue 10, 2005, Pages 804-830

Porous media equation and Sobolev inequalities under negative curvature

Author keywords

Curvature dimension criterion; Porous media equation; Sobolev inequalities

Indexed keywords


EID: 27644588013     PISSN: 00074497     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bulsci.2005.05.003     Document Type: Article
Times cited : (7)

References (9)
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    • 0002925263 scopus 로고
    • L'hypercontractivité et son utilisation en théorie des semi-groupes
    • Lecture Notes in Math. Springer Berlin
    • D. Bakry L'hypercontractivité et son utilisation en théorie des semi-groupes Lectures on Probability Theory, École d'été de probabilités de St-Flour 1992 Lecture Notes in Math. vol. 1581 1994 Springer Berlin 1-114
    • (1994) Lectures on Probability Theory, École D'été De Probabilités De St-Flour 1992 , vol.1581 , pp. 1-114
    • Bakry, D.1
  • 3
    • 14044279862 scopus 로고    scopus 로고
    • Functional inequalities for Markov semigroups
    • Notes de Cours du Tata institute, Bombay, Preprint
    • D. Bakry, Functional inequalities for Markov semigroups, Notes de Cours du Tata institute, Bombay, Preprint, 2002
    • (2002)
    • Bakry, D.1
  • 5
    • 0001119849 scopus 로고
    • Diffusions hypercontractives
    • 1983/84 Springer Berlin
    • D. Bakry M. Emery Diffusions hypercontractives Séminaire de Probabilités, XIX, 1983/84 1985 Springer Berlin 177-206
    • (1985) Séminaire De Probabilités , vol.19 , pp. 177-206
    • Bakry, D.1    Emery, M.2
  • 6
    • 0000720752 scopus 로고
    • A note on the isoperimetric constant
    • P. Buser A note on the isoperimetric constant Ann. Sci. École Normale Supér. 15 1982 213-230
    • (1982) Ann. Sci. École Normale Supér. , vol.15 , pp. 213-230
    • Buser, P.1
  • 7
    • 0036710614 scopus 로고    scopus 로고
    • Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions
    • M. Del Pino J. Dolbeault Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions J. Math. Pures Appl. 81 9 2002 847-875
    • (2002) J. Math. Pures Appl. , vol.81 , Issue.9 , pp. 847-875
    • Del Pino, M.1    Dolbeault, J.2
  • 8
    • 27644454488 scopus 로고    scopus 로고
    • From porous media equation to generalized Sobolev inequalities on a Riemannian manifold
    • Preprint submitted for publication
    • J. Demange, From porous media equation to generalized Sobolev inequalities on a Riemannian manifold, Preprint, Comm. Partial Differential Equations, submitted for publication
    • Comm. Partial Differential Equations
    • Demange, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.