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Volumn 4, Issue 5, 1987, Pages 423-452

Remarks on the large time behaviour of a nonlinear diffusion equation

Author keywords

blow up; diffusion equation; global existence; Time behaviour

Indexed keywords

DIFFUSION; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 84948486085     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(16)30358-4     Document Type: Article
Times cited : (175)

References (15)
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  • 2
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    • Solutions globales de l’équation de la chaleur semilinéaires
    • Cazenave, Th., Lions, P.L., Solutions globales de l’équation de la chaleur semilinéaires. Comm. in P.D.E. Vol. 9:10 (1984), 955–978.
    • (1984) Comm. in P.D.E. , vol.9 , Issue.10 , pp. 955-978
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  • 3
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    • Variational Problems Related to Self-Similar Solutions of the Heat equation, J. of Nonlinear Analysis, Theory, Methods and Appl. (to appear).
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    • Escobedo, M.1    Kavian, O.2
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    • Asymptotic Behaviour of Positive Solutions of a Non-linear Heat Equation (to appear).
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    • A Remark on a priori Bounds for Global Solutions of a Semi-Linear Heat Equation, Preprint.
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    • Giga, Y.1
  • 9
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    • On Non-Existence of Global Solutions of Some Semi-Linear Parabolic Equations
    • Hayakawa, K., On Non-Existence of Global Solutions of Some Semi-Linear Parabolic Equations. Proc. Japan Acad. Vol. 49 (1973), 503–505.
    • (1973) Proc. Japan Acad. , vol.49 , pp. 503-505
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  • 10
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    • On the Growing up Problem for Semi-Linear Heat Equations
    • Kobayashi, K., Sirao, T., Tanaka, H., On the Growing up Problem for Semi-Linear Heat Equations. J. Math. Soc. Japan Vol. 29 (1977), 407–424.
    • (1977) J. Math. Soc. Japan , vol.29 , pp. 407-424
    • Kobayashi, K.1    Sirao, T.2    Tanaka, H.3
  • 12
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    • On Global Solution of Nonlinear Hyperbolic Equations
    • Sattinger, D.H., On Global Solution of Nonlinear Hyperbolic Equations. Arch. Rat. Mech. and Analysis Vol. 30 (1968), 148–172.
    • (1968) Arch. Rat. Mech. and Analysis , vol.30 , pp. 148-172
    • Sattinger, D.H.1
  • 13
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    • Existence and Non-Existence of Global Solutions for a Semi-Linear Heat Equation
    • o 1-2), 1981, 29–39.
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  • 14
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    • Rapidly Decaying Solutions of an O.D.E. with Application to Semi-linear Parabolic P.D.E.’s. (to appear).
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  • 15
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    • Asymptotic Behavior of Solutions of Evolution Equations in Non-linear Evolution Equations
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    • Dafermos, C.M., Asymptotic Behavior of Solutions of Evolution Equations in Non-linear Evolution Equations. Crandall, M.G., (eds.), 1978, Academic Press, New York, 103–123.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.