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Volumn 2003, Issue , 2003, Pages 1-11

Life span of nonnegative solutions to certain quasilinear parabolic cauchy problems

Author keywords

Blow up; Critical exponent; Lifespan; Nonlinear parabolic equation

Indexed keywords


EID: 3042582256     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (12)
  • 1
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    • Local and global solvability of a class of semilinear parabolic equations
    • Baras, P. and R. Kersner, Local and global solvability of a class of semilinear parabolic equations, J. Differential Equations 68 (1987), no. 2, pp 238-252.
    • (1987) J. Differential Equations , vol.68 , Issue.2 , pp. 238-252
    • Baras, P.1    Kersner, R.2
  • 2
    • 84951415984 scopus 로고
    • Problèmes paraboliques semi-linéaires avec données mesures
    • Baras, P. and M. Pierre, Problèmes paraboliques semi-linéaires avec données mesures, Applicable Anal. 18 (1984), no. 1-2, pp 111-149.
    • (1984) Applicable Anal. , vol.18 , Issue.1-2 , pp. 111-149
    • Baras, P.1    Pierre, M.2
  • 4
    • 0037615501 scopus 로고    scopus 로고
    • Criticality for some evolution equations
    • Guedda, M. and M. Kirane, Criticality for some evolution equations (Russian), Differ. Uravn. 37 (2001), no. 4, pp. 511-520, 574-575; translation in Differ. Equ. 37 (2001), no. 4, 540-550.
    • (2001) Differ. Uravn. , vol.37 , Issue.4 , pp. 511-520
    • Guedda, M.1    Kirane, M.2
  • 5
    • 0035620703 scopus 로고    scopus 로고
    • Guedda, M. and M. Kirane, Criticality for some evolution equations (Russian), Differ. Uravn. 37 (2001), no. 4, pp. 511-520, 574-575; translation in Differ. Equ. 37 (2001), no. 4, 540-550.
    • (2001) Differ. Equ. , vol.37 , Issue.4 , pp. 540-550
  • 6
    • 0000469761 scopus 로고
    • On nonexistence of global solutions of some semilinear parabolic di erential equations
    • Hayakawa, K., On nonexistence of global solutions of some semilinear parabolic di erential equations, Proc. Japan Acad. 49 (1973), pp. 503-505.
    • (1973) Proc. Japan Acad. , vol.49 , pp. 503-505
    • Hayakawa, K.1
  • 7
    • 84972506638 scopus 로고
    • On the growing up problem for semilinear heat equations
    • Kobayashi, T. T. Sirao and H. Tanaka, On the growing up problem for semilinear heat equations, J. Math. Soc. Japan 29 (1973), pp.407-424.
    • (1973) J. Math. Soc. Japan , vol.29 , pp. 407-424
    • Kobayashi1    Sirao, T.T.2    Tanaka, H.3
  • 8
    • 84968508643 scopus 로고
    • Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem
    • Lee, T-Y. and W-M Ni, Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem, Trans. Amer. Math. Soc. 333 (1992), no. 1, pp. 365-382.
    • (1992) Trans. Amer. Math. Soc. , vol.333 , Issue.1 , pp. 365-382
    • Lee, T.-Y.1    Ni, W.-M.2
  • 10
    • 0001489696 scopus 로고    scopus 로고
    • Blow-up results for nonlinear hyperbolic inequalities
    • Pohozaev, S. I. and L. Véron, Blow-up results for nonlinear hyperbolic inequalities, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 29 (2000), no. 2, pp. 393-420.
    • (2000) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , vol.29 , Issue.2 , pp. 393-420
    • Pohozaev, S.I.1    Véron, L.2
  • 11
    • 21944448306 scopus 로고    scopus 로고
    • The critical exponents of parabolic equations and blow-up in RN
    • Qi, Y.-W., The critical exponents of parabolic equations and blow-up in RN, Proc. Roy. Soc. Edinburgh Sect. A 128 (1998), no. 1, pp. 123-136.
    • (1998) Proc. Roy. Soc. Edinburgh Sect. A , vol.128 , Issue.1 , pp. 123-136
    • Qi, Y.-W.1
  • 12
    • 51249183619 scopus 로고
    • Existence and nonexistence of global solutions for a semilinear heat equation
    • Weissler, F. B., Existence and nonexistence of global solutions for a semilinear heat equation, Israel J. Math. 38 (1981), no. 1-2, pp. 29-40.
    • (1981) Israel J. Math. , vol.38 , Issue.1-2 , pp. 29-40
    • Weissler, F.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.