메뉴 건너뛰기




Volumn 9, Issue 5, 2003, Pages 1105-1132

Universal solutions of the heat equation on ℝN

Author keywords

Almost periodic functions; Asymptotic behavior; Asymptotically self similar solutions; Chaos; Dilation properties; Heat equation

Indexed keywords


EID: 0038784359     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (29)

References (13)
  • 1
    • 84990739185 scopus 로고
    • Renormalization group and asymptotics of solutions of nonlinear parabolic equations
    • Bricmont J, Kupiainen A. and Lin G., Renormalization group and asymptotics of solutions of nonlinear parabolic equations, Comm. Pure Appl. Math., 47 (1994), 893-922.
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 893-922
    • Bricmont, J.1    Kupiainen, A.2    Lin, G.3
  • 5
    • 0039987397 scopus 로고
    • Overview: Dynamics of simple maps
    • Chaos and Fractals, Amer. Math. Soc., Providence
    • Devaney R.L., Overview: Dynamics of Simple Maps, in Chaos and Fractals, Proc. Symp. Appl. Math. 39, Amer. Math. Soc., Providence, 1989.
    • (1989) Proc. Symp. Appl. Math. , vol.39
    • Devaney, R.L.1
  • 6
    • 0001224615 scopus 로고
    • Large time behavior of solutions of a dissipative semi-linear heat equation
    • Escobedo M., Kavian O. and Matano H., Large time behavior of solutions of a dissipative semi-linear heat equation, Comm. Partial Differential Equations, 20 (1995), 1427-1452.
    • (1995) Comm. Partial Differential Equations , vol.20 , pp. 1427-1452
    • Escobedo, M.1    Kavian, O.2    Matano, H.3
  • 7
    • 0003352405 scopus 로고
    • Systèmes dynamiques dissipatifs et applications
    • P. G. Ciariet et J.-L. Lions (eds.), Masson, Paris
    • Haraux A., Systèmes dynamiques dissipatifs et applications, R.M.A. 17, P. G. Ciariet et J.-L. Lions (eds.), Masson, Paris, 1991.
    • (1991) R.M.A. , vol.17
    • Haraux, A.1
  • 8
    • 2442695125 scopus 로고    scopus 로고
    • An example of a uniformly recurrent function which is not almost periodic
    • to appear
    • Haraux A. and Souplet P., An example of a uniformly recurrent function which is not almost periodic, J. Fourier Anal. Appl., to appear.
    • J. Fourier Anal. Appl.
    • Haraux, A.1    Souplet, P.2
  • 9
    • 0002742105 scopus 로고    scopus 로고
    • Asymptotic behaviour of solutions of some semilinear parabolic problems
    • Herraiz L., Asymptotic behaviour of solutions of some semilinear parabolic problems, Ann. Inst. H. Poincaré Anal. Non Linéaire, 18 (1999), 49-105.
    • (1999) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.18 , pp. 49-105
    • Herraiz, L.1
  • 10
    • 0000997379 scopus 로고
    • Large time behavior of solutions of the heat equation with absorption
    • Kamin S. and Peletier L.A., Large time behavior of solutions of the heat equation with absorption, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 12 (1985), 393-408.
    • (1985) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , vol.12 , pp. 393-408
    • Kamin, S.1    Peletier, L.A.2
  • 11
    • 0033426791 scopus 로고    scopus 로고
    • Initial trace of positive solutions of some nonlinear parabolic equations
    • Marcus M. and Véron L., Initial trace of positive solutions of some nonlinear parabolic equations, Comm. Partial Differential Equations, 24 (1999), 1445-1499.
    • (1999) Comm. Partial Differential Equations , vol.24 , pp. 1445-1499
    • Marcus, M.1    Véron, L.2
  • 13
    • 0035994819 scopus 로고    scopus 로고
    • Complexity of large time behaviour of evolution equations with bounded data
    • Vázquez J.L. and Zuazua E., Complexity of large time behaviour of evolution equations with bounded data, Chinese Ann. Math. Ser. B, 23 (2002), 293-310.
    • (2002) Chinese Ann. Math. Ser. B , vol.23 , pp. 293-310
    • Vázquez, J.L.1    Zuazua, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.