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Volumn 52, Issue 6, 2001, Pages 1017-1032

Blow-up of solutions of nonlinear heat equations in unbounded domains for slowly decaying initial data

Author keywords

Blow up; Critical exponent; Nonlinear parabolic equations; Unbounded domains

Indexed keywords


EID: 0035541513     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001581     Document Type: Article
Times cited : (8)

References (8)
  • 1
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    • On the blow-up of solutions for a convective reaction diffusion equation
    • J. Aguirre and M. Escobedo, On the blow-up of solutions for a convective reaction diffusion equation, Proc. Roy. Soc. Edinburgh, 123A, No. 3 (1993), p 433-460.
    • (1993) Proc. Roy. Soc. Edinburgh , vol.123 A , Issue.3 , pp. 433-460
    • Aguirre, J.1    Escobedo, M.2
  • 2
    • 84968483109 scopus 로고
    • On the existence of global solutions of reaction-diffusion equations in sectorial domains
    • C. Bandle anil H. A. Levine, On the existence of global solutions of reaction-diffusion equations in sectorial domains, Trans. Amer. Math. Soc. 316, No. 2 (1989), p 595-622.
    • (1989) Trans. Amer. Math. Soc. , vol.316 , Issue.2 , pp. 595-622
    • Bandle, C.1    Levine, H.A.2
  • 4
    • 84980080195 scopus 로고
    • On the growth of solutions of quasilinear parabolic equations
    • S. Kaplan, On the growth of solutions of quasilinear parabolic equations, Comm. Pure. Appl Math., 16 (1963), p 305-330.
    • (1963) Comm. Pure. Appl Math. , vol.16 , pp. 305-330
    • Kaplan, S.1
  • 5
    • 0025551411 scopus 로고
    • The value of the critical exponent for reaction-diffusion equations in cones
    • H. A. Levine and P. Meier, The value of the critical exponent for reaction-diffusion equations in cones, Archive for Rational Mechanics and Analysis, 109, No. 1 (1990), p 73-80.
    • (1990) Archive for Rational Mechanics and Analysis , vol.109 , Issue.1 , pp. 73-80
    • Levine, H.A.1    Meier, P.2
  • 6
    • 84968508643 scopus 로고
    • Global existence, large time behaviour and life span of solutions of a semilinear parabolic Cauchy problem
    • T-Y. Lee and W-M. Ni, Global existence, large time behaviour and life span of solutions of a semilinear parabolic Cauchy problem, Trans. Amer. Math. Soc. 333, No. 1 (1992), p 365-378.
    • (1992) Trans. Amer. Math. Soc. , vol.333 , Issue.1 , pp. 365-378
    • Lee, T.-Y.1    Ni, W.-M.2
  • 7
    • 0032392869 scopus 로고    scopus 로고
    • Blow-up and life span of solutions for a semilinear parabolic equation
    • N. Mizoguchi and E. Yanagida, Blow-up and life span of solutions for a semilinear parabolic equation, SIAM J. Math. Anal., 29, No. 6 (1998), p 1434-1446.
    • (1998) SIAM J. Math. Anal. , vol.29 , Issue.6 , pp. 1434-1446
    • Mizoguchi, N.1    Yanagida, E.2
  • 8
    • 0031195373 scopus 로고    scopus 로고
    • Self-similar subsolutions and blow-up for nonlinear parabolic equations
    • Ph. Souplet and F. Weissler, Self-similar subsolutions and blow-up for nonlinear parabolic equations, J. Math. Anal. Appl., 212 (1997), p 60-74.
    • (1997) J. Math. Anal. Appl. , vol.212 , pp. 60-74
    • Souplet, P.1    Weissler, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.