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Volumn 238, Issue 2, 1999, Pages 468-476

The Blow-Up Rate for a Semilinear Parabolic System

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EID: 0000491924     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6525     Document Type: Article
Times cited : (53)

References (25)
  • 3
    • 0001011575 scopus 로고
    • Blow-up estimates of positive solutions of a parabolic system
    • G. Caristi and E. Mitidieri, Blow-up estimates of positive solutions of a parabolic system, J. Differential Equations 113 (1994), 265-271.
    • (1994) J. Differential Equations , vol.113 , pp. 265-271
    • Caristi, G.1    Mitidieri, E.2
  • 5
    • 0030544718 scopus 로고    scopus 로고
    • Blow-up rates for parabolic systems
    • 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
    • 0000930940 scopus 로고
    • On critical exponents for a system of heat equations coupled in the boundary conditions
    • K. Deng, M. Fila, and H. A. Levine, On critical exponents for a system of heat equations coupled in the boundary conditions, Acta Math. Univ. Comenian. 63 (1994), 169-192.
    • (1994) Acta Math. Univ. Comenian. , vol.63 , pp. 169-192
    • Deng, K.1    Fila, M.2    Levine, H.A.3
  • 7
    • 85030058976 scopus 로고    scopus 로고
    • The role of critical exponents in blowup theorems: The sequel
    • to appear
    • K. Deng and H. A. Levine, The role of critical exponents in blowup theorems: The sequel, J. Math. Anal. Appl., to appear.
    • J. Math. Anal. Appl.
    • Deng, K.1    Levine, H.A.2
  • 8
    • 0000199722 scopus 로고
    • Boundedness and blow up for a semilinear reaction-diffusion system
    • M. Escobedo and M. A. Herrero, Boundedness and blow up for a semilinear reaction-diffusion system, J. Differential Equations 89 (1991), 176-202.
    • (1991) J. Differential Equations , vol.89 , pp. 176-202
    • Escobedo, M.1    Herrero, M.A.2
  • 9
    • 84968488639 scopus 로고
    • A uniqueness result for a semilinear reaction-diffusion system
    • M. Escobedo and M. A. Herrero, A uniqueness result for a semilinear reaction-diffusion system, Proc. Amer. Math. Soc. 112 (1991), 175-185.
    • (1991) Proc. Amer. Math. Soc. , vol.112 , pp. 175-185
    • Escobedo, M.1    Herrero, M.A.2
  • 10
    • 0004786223 scopus 로고
    • Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
    • M. Escobedo and H. A. Levine, Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations, Arch. Rational Mech. Anal. 129 (1995), 47-100.
    • (1995) Arch. Rational Mech. Anal. , vol.129 , pp. 47-100
    • Escobedo, M.1    Levine, H.A.2
  • 11
    • 0030524945 scopus 로고    scopus 로고
    • On critical exponents for a semilinear parabolic system coupled in an equation and a boundary condition
    • M. Fila and H. A. Levine, On critical exponents for a semilinear parabolic system coupled in an equation and a boundary condition, J. Math. Anal. Appl. 204 (1996), 494-521.
    • (1996) J. Math. Anal. Appl. , vol.204 , pp. 494-521
    • Fila, M.1    Levine, H.A.2
  • 12
    • 84988144021 scopus 로고
    • A Fujita-type global existence - Global non-existence theorem for a system of reaction diffusion equations with differing diffusivities
    • M. Fila, H. A. Levine, and Y. Uda, A Fujita-type global existence - global non-existence theorem for a system of reaction diffusion equations with differing diffusivities, Math. Methods Appl. Sci. 17 (1994), 807-835.
    • (1994) Math. Methods Appl. Sci. , vol.17 , pp. 807-835
    • Fila, M.1    Levine, H.A.2    Uda, Y.3
  • 14
    • 0000332576 scopus 로고
    • Characterizing blow-up using similarity variables
    • Y. Giga and R. V. Kohn, Characterizing blow-up 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
  • 15
    • 0000469761 scopus 로고
    • On the nonexistence of global solutions of some semilinear parabolic equations
    • 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
  • 17
    • 0000172301 scopus 로고
    • Explosion de solutions d'équations paraboliques semilinéaires supercritiques
    • M. A. Herrero and J. J. L. Velázquez, Explosion de solutions d'équations paraboliques semilinéaires supercritiques, C. R. Acad. Sci. Paris, Sér. I 319 (1994), 141-145.
    • (1994) C. R. Acad. Sci. Paris, Sér. I , vol.319 , pp. 141-145
    • Herrero, M.A.1    Velázquez, J.J.L.2
  • 19
    • 0001091789 scopus 로고    scopus 로고
    • Remarks on the blowup estimate for solutions of the heat equation with a nonlinear boundary condition
    • B. Hu, Remarks on the blowup estimate for solutions 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
  • 20
    • 84972506638 scopus 로고
    • On the blowing up problem for semilinear heat equations
    • K. Kobayashi, T. Sirao, and 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
  • 22
    • 0000658046 scopus 로고
    • A Fujita type global existence-global nonexistence theorem for a weakly coupled system of reaction-diffusion equations
    • H. A. Levine, A Fujita type global existence-global nonexistence theorem for a weakly coupled system of reaction-diffusion equations, J. Appl. Math. Phys. 42 (1991), 408-430.
    • (1991) J. Appl. Math. Phys. , vol.42 , pp. 408-430
    • Levine, H.A.1
  • 24
    • 0000540496 scopus 로고    scopus 로고
    • Global existence and blow up of solutions for a completly coupled Fujita type system of reaction-diffusion equations
    • J. Renclawowicz, Global existence and blow up of solutions for a completly coupled Fujita type system of reaction-diffusion equations, Appl. Math. (Warsaw) 25 (1998), 313-326.
    • (1998) Appl. Math. (Warsaw) , vol.25 , pp. 313-326
    • Renclawowicz, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.