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Volumn 293, Issue 2, 2004, Pages 663-676

Blowup estimates for a parabolic system in a three-species cooperating model

Author keywords

Blowup estimates; Parabolic system; Upper and lower bounds

Indexed keywords


EID: 2442435823     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.01.026     Document Type: Article
Times cited : (14)

References (23)
  • 1
    • 0002499851 scopus 로고    scopus 로고
    • From critical exponents to blow-up rates for parabolic problems
    • M. Chlebik, M. Fila, From critical exponents to blow-up rates for parabolic problems, Rend. Mat. Appl. VII 19 (1999) 449-470.
    • (1999) Rend. Mat. Appl. VII , vol.19 , pp. 449-470
    • Chlebik, M.1    Fila, M.2
  • 2
    • 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
  • 3
    • 0000491924 scopus 로고    scopus 로고
    • The blow-up rate for a semilinear parabolic system
    • M. Fila, P. Quittner, The blow-up rate for a semilinear parabolic system, J. Math. Anal. Appl. 238 (1999) 468-476.
    • (1999) J. Math. Anal. Appl. , vol.238 , pp. 468-476
    • Fila, M.1    Quittner, P.2
  • 4
    • 0038563718 scopus 로고    scopus 로고
    • The blow-up rate for semilinear parabolic problems on general domains
    • M. Fila, P. Souplet, The blow-up rate for semilinear parabolic problems on general domains, Nonlinear Differential Equations Appl. 8 (2001) 473-480.
    • (2001) Nonlinear Differential Equations Appl. , vol.8 , pp. 473-480
    • Fila, M.1    Souplet, P.2
  • 6
    • 0000546335 scopus 로고
    • Blowup of positive solutions of semilinear heat equations
    • A. Friedman, B. Mcleod, Blowup of positive solutions of semilinear heat equations, Indiana Univ. Math. J. 34 (1985) 425-477.
    • (1985) Indiana Univ. Math. J. , vol.34 , pp. 425-477
    • Friedman, A.1    Mcleod, B.2
  • 7
    • 0000332576 scopus 로고
    • Characterizing blowup using similarity variables
    • 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
  • 8
    • 0036575737 scopus 로고    scopus 로고
    • Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary
    • J.S. Guo, B. Hu, Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary, J. Math. Anal. Appl. 269 (2002) 28-49.
    • (2002) J. Math. Anal. Appl. , vol.269 , pp. 28-49
    • Guo, J.S.1    Hu, B.2
  • 9
    • 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. Ser. 49 (1973) 503-525.
    • (1973) Proc. Japan Acad. Ser. , vol.49 , pp. 503-525
    • Hayakawa, K.1
  • 10
    • 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
  • 11
    • 84968468748 scopus 로고
    • The profile near blow-up time for solution of the heat equation with a nonlinear boundary condition
    • B. Hu, H.M. Yin, The profile near blow-up time for solution of the heat equation with a nonlinear boundary condition, Trans. Amer. Math. Soc. 346 (1994) 117-135.
    • (1994) Trans. Amer. Math. Soc. , vol.346 , pp. 117-135
    • Hu, B.1    Yin, H.M.2
  • 12
    • 0942289481 scopus 로고    scopus 로고
    • Blowup in a three-species cooperating model
    • K.I. Kim, Z. Lin, Blowup in a three-species cooperating model, Appl. Math. Lett. 17 (2004) 89-94.
    • (2004) Appl. Math. Lett. , vol.17 , pp. 89-94
    • Kim, K.I.1    Lin, Z.2
  • 14
    • 0005885270 scopus 로고
    • A blowup result for the critical exponent in cones
    • 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
  • 15
    • 0042039416 scopus 로고    scopus 로고
    • Necessary and sufficient condition for the existence of positive solutions of certain cooperative system
    • Y. Lou, Necessary and sufficient condition for the existence of positive solutions of certain cooperative system, Nonlinear Anal. 26 (1996) 1019-1095.
    • (1996) Nonlinear Anal. , vol.26 , pp. 1019-1095
    • Lou, Y.1
  • 16
    • 0035392126 scopus 로고    scopus 로고
    • On diffusion-induced blowups in a mutualistic model
    • Y. Lou, T. Nagylaki, W.M. Ni, On diffusion-induced blowups in a mutualistic model, Nonlinear Anal. 45 (2001) 329-342.
    • (2001) Nonlinear Anal. , vol.45 , pp. 329-342
    • Lou, Y.1    Nagylaki, T.2    Ni, W.M.3
  • 18
    • 0032218494 scopus 로고    scopus 로고
    • Refined uniform estimates at blow-up and applications for nonlinear heat equations
    • F. Merle, H. Zaag, Refined uniform estimates at blow-up and applications for nonlinear heat equations, Geom. Funct. Anal. 8 (1998) 1043-1085.
    • (1998) Geom. Funct. Anal. , vol.8 , pp. 1043-1085
    • Merle, F.1    Zaag, H.2
  • 19
    • 0032338170 scopus 로고    scopus 로고
    • Optimal estimates for blowup rate and behavior for nonlinear heat equations
    • F. Merle, H. Zaag, Optimal estimates for blowup rate and behavior for nonlinear heat equations, Comm. Pure Appl. Math. 51 (1998) 139-196.
    • (1998) Comm. Pure Appl. Math. , vol.51 , pp. 139-196
    • Merle, F.1    Zaag, H.2
  • 22
    • 0033126123 scopus 로고    scopus 로고
    • An example of blowup produced by equal diffusions
    • H.F. Weinberger, An example of blowup produced by equal diffusions, J. Differential Equations 154 (1999) 225-237.
    • (1999) J. Differential Equations , vol.154 , pp. 225-237
    • Weinberger, H.F.1
  • 23
    • 48549114032 scopus 로고
    • Single point blow-up for a semilinear initial value problem
    • F. Weissler, Single point blow-up for a semilinear initial value problem, J. Differential Equations 55 (1984) 204-224.
    • (1984) J. Differential Equations , vol.55 , pp. 204-224
    • Weissler, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.