메뉴 건너뛰기




Volumn , Issue 2, 1998, Pages

Geometric Proof of Nash's Inequality

Author keywords

[No Author keywords available]

Indexed keywords


EID: 1842637472     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (30)

References (18)
  • 1
    • 84966220156 scopus 로고
    • A generalized Poincaré inequality for Gaussian measures
    • W. Beckner, A generalized Poincaré inequality for Gaussian measures, Proc. Amer. Math. Soc. 105 (1989), 397-400.
    • (1989) Proc. Amer. Math. Soc. , vol.105 , pp. 397-400
    • Beckner, W.1
  • 3
    • 0001491241 scopus 로고
    • Pitt's inequality and the uncertainty principle
    • _, Pitt's inequality and the uncertainty principle, Proc. Amer. Math. Soc. 123 (1995), 1897-1905.
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 1897-1905
  • 5
    • 0031987054 scopus 로고    scopus 로고
    • On sharp Sobolev embedding and the logarithmic Sobolev inequality
    • to appear
    • W. Beckner and M. Pearson, On sharp Sobolev embedding and the logarithmic Sobolev inequality, to appear in Bull. London Math. Soc.
    • Bull. London Math. Soc.
    • Beckner, W.1    Pearson, M.2
  • 7
    • 33646917618 scopus 로고
    • A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
    • E. B. Fabes and D. W. Stroock, A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash, Arch. Rational Mech. Anal. 96 (1986), 327-338.
    • (1986) Arch. Rational Mech. Anal. , vol.96 , pp. 327-338
    • Fabes, E.B.1    Stroock, D.W.2
  • 9
    • 0001429116 scopus 로고
    • Logarithmic Sobolev inequalities
    • L. Gross, Logarithmic Sobolev inequalities, Amer. J. Math. 97 (1975), 1061-1083.
    • (1975) Amer. J. Math. , vol.97 , pp. 1061-1083
    • Gross, L.1
  • 10
    • 0002075128 scopus 로고
    • Isopérimétrie et inégalités de Sobolev logarithmiques gaussiennes
    • M. Ledoux, Isopérimétrie et inégalités de Sobolev logarithmiques gaussiennes, C.R. Acad. Sci. Paris Sér. I Math. 306 (1988), 79-82.
    • (1988) C.R. Acad. Sci. Paris Sér. I Math. , vol.306 , pp. 79-82
    • Ledoux, M.1
  • 11
    • 0011603859 scopus 로고
    • Über integratungleichungen zwischen einer funktion und ihrer ableitung
    • Szeged
    • B. Sz. Nagy, Über integratungleichungen zwischen einer funktion und ihrer ableitung, Acta Sci. Math. (Szeged) 10 (1941), 64-74.
    • (1941) Acta Sci. Math. , vol.10 , pp. 64-74
    • Nagy, B.Sz.1
  • 12
    • 0001680091 scopus 로고
    • Continuity of solutions of parabolic and elliptic equations
    • J. Nash, Continuity of solutions of parabolic and elliptic equations, Amer. J. Math. 80 (1958), 931-954.
    • (1958) Amer. J. Math. , vol.80 , pp. 931-954
    • Nash, J.1
  • 13
    • 0000190919 scopus 로고
    • The isoperimetric inequality
    • R. Osserman, The isoperimetric inequality, Bull. Amer. Math. Soc. 84 (1978), 1182-1238.
    • (1978) Bull. Amer. Math. Soc. , vol.84 , pp. 1182-1238
    • Osserman, R.1
  • 16
    • 12944295719 scopus 로고
    • Some inequalities satisfied by the quantities of information of Fisher and Shannon
    • A. J. Stam, Some inequalities satisfied by the quantities of information of Fisher and Shannon, Inform. and Control 2 (1959), 101-112.
    • (1959) Inform. and Control , vol.2 , pp. 101-112
    • Stam, A.J.1
  • 18
    • 84968502357 scopus 로고
    • Logarithmic Sobolev inequalities for the heat-diffusion semigroup
    • F. B. Weissler, Logarithmic Sobolev inequalities for the heat-diffusion semigroup, Trans. Amer. Math. Soc. 237 (1978), 255-269.
    • (1978) Trans. Amer. Math. Soc. , vol.237 , pp. 255-269
    • Weissler, F.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.