메뉴 건너뛰기




Volumn 15, Issue 1, 2002, Pages 101-107

Intermediate Asymptotics in L1 for General Nonlinear Diffusion Equations

Author keywords

Generalized Sobolev inequalities; Intermediate asymptotics; Nonlinear diffusions in L1; Relative entropy methods

Indexed keywords


EID: 31244432367     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(01)00100-8     Document Type: Article
Times cited : (10)

References (12)
  • 2
    • 0031093206 scopus 로고    scopus 로고
    • Sur L'inégalité Logarithmique de Sobolev
    • G. Toscani, Sur L'inégalité Logarithmique de Sobolev, C. R. Acad. Sci. Paris, Sér. I Math. Volume 324, 689-694 (1997).
    • (1997) C. R. Acad. Sci. Paris, Sér. I Math. , vol.324 , pp. 689-694
    • Toscani, G.1
  • 3
    • 0040637901 scopus 로고    scopus 로고
    • On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations
    • submitted
    • A. Arnold, P. Markowich, G. Toscani and A. Unterreiter, On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations, Comm. P.D.E. (submitted).
    • Comm. P.D.E.
    • Arnold, A.1    Markowich, P.2    Toscani, G.3    Unterreiter, A.4
  • 4
    • 0347420558 scopus 로고    scopus 로고
    • The geometry of dissipative evolution equations: The porous medium equation
    • to appear
    • F. Otto, The geometry of dissipative evolution equations: The porous medium equation, Comm. P.D.E. (to appear).
    • Comm. P.D.E.
    • Otto, F.1
  • 5
    • 84894463955 scopus 로고    scopus 로고
    • 1-decay of solutions of the porous medium equation to self-similarity
    • to appear
    • 1-decay of solutions of the porous medium equation to self-similarity, Indiana Univ. Math. J. (to appear).
    • Indiana Univ. Math. J.
    • Carrillo, J.A.1    Toscani, G.2
  • 6
    • 0005176078 scopus 로고    scopus 로고
    • Generalized Sobolev inequalities and asymptotic behaviour in fast diffusion and porous media problems
    • M. del Pino and J. Dolbeault, Generalized Sobolev inequalities and asymptotic behaviour in fast diffusion and porous media problems, Ceremade 9905, 1-45 (1999).
    • (1999) Ceremade , vol.9905 , pp. 1-45
    • Del Pino, M.1    Dolbeault, J.2
  • 8
    • 0000489740 scopus 로고
    • Information-type measures of difference of probability distributions and indirect observations
    • I. Csiszár, Information-type measures of difference of probability distributions and indirect observations, Studia Sci. Math. Hungar. 2, 299-318 (1967).
    • (1967) Studia Sci. Math. Hungar. , vol.2 , pp. 299-318
    • Csiszár, I.1
  • 9
    • 84941465845 scopus 로고
    • A lower bound for discrimination information in terms of variation
    • S. Kullback, A lower bound for discrimination information in terms of variation, IEEE Trans. Information Theory 13, 126-127 (1967).
    • (1967) IEEE Trans. Information Theory , vol.13 , pp. 126-127
    • Kullback, S.1
  • 11
    • 85037308904 scopus 로고    scopus 로고
    • Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling
    • to appear
    • P. Biler, J. Dolbeault and P. Markowich, Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling, Transp. Th. Stat. Phys. (to appear).
    • Transp. Th. Stat. Phys.
    • Biler, P.1    Dolbeault, J.2    Markowich, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.