메뉴 건너뛰기




Volumn 8, Issue 4, 2001, Pages 473-480

The blow-up rate for semilinear parabolic problems on general domains

Author keywords

Blow up rate; Parabolic equations

Indexed keywords


EID: 0038563718     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001459     Document Type: Article
Times cited : (52)

References (20)
  • 1
    • 84971116414 scopus 로고
    • On the blow up of solutions for a convective reaction diffusion equation
    • [AE]
    • [AE] J. AGUIRRE, M. ESCOBEDO, On the blow up of solutions for a convective reaction diffusion equation, Proc. Roy. Soc. Edinburgh 123A (1993), 433-460.
    • (1993) Proc. Roy. Soc. Edinburgh , vol.123 A , pp. 433-460
    • Aguirre, J.1    Escobedo, M.2
  • 2
    • 0000581856 scopus 로고
    • Some blowup results for a nonlinear parabolic equation with a gradient term
    • [CW]
    • [CW] M. CHIPOT, F.B. WEISSLER, Some blowup results for a nonlinear parabolic equation with a gradient term, SIAM J. Math. Anal. 20 (1989), 886-907.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 886-907
    • Chipot, M.1    Weissler, F.B.2
  • 3
    • 0002499851 scopus 로고    scopus 로고
    • From critical exponents to blow-up rates for parabolic problems
    • [CF]
    • [CF] M. CHLEBÍK, M. FILA, From critical exponents to blow-up rates for parabolic problems, Rend. Mat. Appl., Ser. VII 19 (1999), 449-470.
    • (1999) Rend. Mat. Appl., Ser. VII , vol.19 , pp. 449-470
    • Chlebík, M.1    Fila, M.2
  • 4
    • 84894265109 scopus 로고    scopus 로고
    • Blow-up of positive solutions of a semilinear parabolic equation with a gradient term
    • [CFQ] to appear
    • [CFQ] M. CHLEBÍK, M. FILA, P. QUITTNER, Blow-up of positive solutions of a semilinear parabolic equation with a gradient term, Dyn. Contin. Discrete Impulsive Syst., to appear.
    • Dyn. Contin. Discrete Impulsive Syst.
    • Chlebík, M.1    Fila, M.2    Quittner, P.3
  • 5
    • 0030544718 scopus 로고    scopus 로고
    • Blow-up rates for parabolic systems
    • [D]
    • [D] K. DENG, Blow-up rates for parabolic systems, Z. angew. Math. Phys. 47 (1996), 132-143.
    • (1996) Z. Angew. Math. Phys. , vol.47 , pp. 132-143
    • Deng, K.1
  • 6
    • 0000199722 scopus 로고
    • Boundedness and blow up for a semilinear reaction-diffusion system
    • [EH]
    • [EH] M. ESCOBEDO, M.A. HERRERO, Boundedness and blow up for a semilinear reaction-diffusion system, J. Differ. Equations 89 (1991), 176-202.
    • (1991) J. Differ. Equations , vol.89 , pp. 176-202
    • Escobedo, M.1    Herrero, M.A.2
  • 8
    • 0000332576 scopus 로고
    • Characterizing blowup using similarity variables
    • [GK]
    • [GK] Y. GIGA, R.V. KOHN, Characterizing blowup using similarity variables, Indiana Univ. Math. J. 36 (1987), 1-40.
    • (1987) Indiana Univ. Math. J. , vol.36 , pp. 1-40
    • Giga, Y.1    Kohn, R.V.2
  • 9
    • 0000469761 scopus 로고
    • On the nonexistence of global solutions of some semilinear parabolic equations
    • [H]
    • [H] K. HAYAKAWA, On the nonexistence of global solutions of some semilinear parabolic equations, Proc. Japan Acad. 49 (1973), 503-525.
    • (1973) Proc. Japan Acad. , vol.49 , pp. 503-525
    • Hayakawa, K.1
  • 10
    • 0001091789 scopus 로고    scopus 로고
    • Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition
    • [Hu]
    • [Hu] B. HU, Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition, Differential Integral Equations 9 (1996), 891-901.
    • (1996) Differential Integral Equations , vol.9 , pp. 891-901
    • Hu, B.1
  • 11
    • 84948486085 scopus 로고
    • Remarks on the large time behaviour of a nonlinear diffusion equation
    • [K]
    • [K] O. KAVIAN, Remarks on the large time behaviour of a nonlinear diffusion equation, Ann. Inst. II. Poincaré, Anal. non linéaire 4 (1987), 423-452.
    • (1987) Ann. Inst. II. Poincaré, Anal. Non Linéaire , vol.4 , pp. 423-452
    • Kavian, O.1
  • 12
    • 84972506638 scopus 로고
    • On the blowing up problem for semilinear heat equations
    • [KST]
    • [KST] K. KOBAYASHI, T. SIRAO, H. TANAKA, On the blowing up problem for semilinear heat equations, J. Math. Soc. Japan 29 (1977), 407-424.
    • (1977) J. Math. Soc. Japan , vol.29 , pp. 407-424
    • Kobayashi, K.1    Sirao, T.2    Tanaka, H.3
  • 14
    • 0000658046 scopus 로고
    • A Fujita type global existence - Global nonexistence theorem for a weakly coupled system of reaction-diffusion equations
    • [L]
    • [L] H.A. LEVINE, A Fujita type global existence - global nonexistence theorem for a weakly coupled system of reaction-diffusion equations, Z. angew. Math. Phys. 42 (1992), 408-430.
    • (1992) Z. Angew. Math. Phys. , vol.42 , pp. 408-430
    • Levine, H.A.1
  • 15
    • 0005885270 scopus 로고
    • A blowup result for the critical exponent in cones
    • [LM]
    • [LM] H.A. LEVINE, P. MEIER, A blowup result for the critical exponent in cones, Israel J. Math. 67 (1989), 129-136.
    • (1989) Israel J. Math. , vol.67 , pp. 129-136
    • Levine, H.A.1    Meier, P.2
  • 17
    • 0347340616 scopus 로고    scopus 로고
    • Blow-up behavior for semilinear heat equations in nonconvex domains
    • [P]
    • [P] C.-C. POON, Blow-up behavior for semilinear heat equations in nonconvex domains, Differential Integral Equations 13 (2000), 1111-1138.
    • (2000) Differential Integral Equations , vol.13 , pp. 1111-1138
    • Poon, C.-C.1
  • 18
    • 0347340615 scopus 로고    scopus 로고
    • Blow-up rates for nonlinear heat equations with gradient terms and for parabolic inequalities
    • [ST]
    • [ST] PH. SOUPLET, S. TAYACHI, Blow-up rates for nonlinear heat equations with gradient terms and for parabolic inequalities, Colloq. Math. 88 (2001), 135-154.
    • (2001) Colloq. Math. , vol.88 , pp. 135-154
    • Souplet, P.H.1    Tayachi, S.2
  • 19
    • 48549114032 scopus 로고
    • Single point blow-up for a semilinear initial value problem
    • [W1]
    • [W1] F. WEISSLER, Single point blow-up for a semilinear initial value problem, J. Differ. Equations 55 (1984), 204-224.
    • (1984) J. Differ. Equations , vol.55 , pp. 204-224
    • Weissler, F.1
  • 20
    • 84990581880 scopus 로고
    • ∞ blow-up estimate for a nonlinear heat equation
    • [W2]
    • ∞ blow-up estimate for a nonlinear heat equation, Commun. Pure Appl. Math. 38 (1985), 291-295.
    • (1985) Commun. Pure Appl. Math. , vol.38 , pp. 291-295
    • Weissler, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.