메뉴 건너뛰기




Volumn 29, Issue 6, 1998, Pages 1434-1446

Blowup and life span of solutions for a semilinear parabolic equation

Author keywords

Blowup; Life span; Semilinear parabolic equations

Indexed keywords


EID: 0032392869     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141097324934     Document Type: Article
Times cited : (24)

References (13)
  • 2
    • 84990616610 scopus 로고
    • Asymptotically self-similar blow-up of semilinear heat equations
    • Y. GIGA AND R. V. KOHN, Asymptotically self-similar blow-up of semilinear heat equations, Comm. Pure Appl. Math., 38 (1985), pp. 297-319.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 297-319
    • Giga, Y.1    Kohn, R.V.2
  • 3
    • 0000332576 scopus 로고
    • Characterizing blowup using similarity variables
    • Y. GIGA AND R. V. KOHN, Characterizing blowup using similarity variables, Indiana Univ. Math. J., 36 (1987), pp. 1-40.
    • (1987) Indiana Univ. Math. J. , vol.36 , pp. 1-40
    • Giga, Y.1    Kohn, R.V.2
  • 4
    • 84990575181 scopus 로고
    • Nondegeneracy of blowup for semilinear heat equations
    • Y. GIGA AND R. V. KOHN, Nondegeneracy of blowup for semilinear heat equations, Comm. Pure Appl. Math., 17 (1989), pp. 845-884.
    • (1989) Comm. Pure Appl. Math. , vol.17 , pp. 845-884
    • Giga, Y.1    Kohn, R.V.2
  • 5
    • 0001659913 scopus 로고
    • Life span of solutions of the cauchy problem for a semilinear heat equation
    • C. GUI AND X. WANG, Life span of solutions of the Cauchy problem for a semilinear heat equation, J. Differential Equations, 115 (1995), pp. 166-172.
    • (1995) J. Differential Equations , vol.115 , pp. 166-172
    • Gui, C.1    Wang, X.2
  • 7
    • 84968508643 scopus 로고
    • Global existence, large time behavior and life span of solutions of a semilinear parabolic cauchy problem
    • T.-Y. LEE 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), pp. 365-378.
    • (1992) Trans. Amer. Math. Soc. , vol.333 , pp. 365-378
    • Lee, T.-Y.1    Ni, W.-M.2
  • 8
    • 0025442951 scopus 로고
    • The role of critical exponents in blowup theorems
    • H. A. LEVINE, The role of critical exponents in blowup theorems, SIAM Rev., 32 (1990), pp. 262-288.
    • (1990) SIAM Rev. , vol.32 , pp. 262-288
    • Levine, H.A.1
  • 9
    • 0031476888 scopus 로고    scopus 로고
    • Critical exponents for the blow-up of solutions with sign changes in a semilinear parabolic equation
    • N. MIZOGUCHI AND E. YANAGIDA, Critical exponents for the blow-up of solutions with sign changes in a semilinear parabolic equation, Math. Ann., 307 (1997), pp. 663-675.
    • (1997) Math. Ann. , vol.307 , pp. 663-675
    • Mizoguchi, N.1    Yanagida, E.2
  • 10
    • 0040163869 scopus 로고    scopus 로고
    • Critical exponents for the blowup of solutions with sign changes in a semilinear parabolic equation II
    • N. MIZOGUCHI AND E. YANAGIDA, Critical exponents for the blowup of solutions with sign changes in a semilinear parabolic equation II, J. Differential Equations, 145 (1998), pp. 295-331.
    • (1998) J. Differential Equations , vol.145 , pp. 295-331
    • Mizoguchi, N.1    Yanagida, E.2
  • 13
    • 0000357569 scopus 로고
    • Asymptotic analysis of an ordinary differential equation and nonuniqueness for a semilinear partial differential equation
    • F. B. WEISSLER, Asymptotic analysis of an ordinary differential equation and nonuniqueness for a semilinear partial differential equation, Arch. Rational Mech. Anal., 91 (1986), pp. 231-245.
    • (1986) Arch. Rational Mech. Anal. , vol.91 , pp. 231-245
    • Weissler, F.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.