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Proceedings of the American Mathematical Society
Volumn 127, Issue 1, 1999, Pages 167-172
Remarks on blow-up behavior for a nonlinear diffusion equation with neumann boundary conditions
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EID: 22444455907     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-04748-6     Document Type: Article
Times cited : (13)
References (8)
  • 1
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    • Deng, K.1
  • 3
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    • Quenching on the boundary
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    • M. Fila and H.A. Levine, Quenching on the boundary, Nonlinear Anal. TMA 21 (1993), 795-802. MR 95b:35028
    • (1993) Nonlinear Anal. TMA , vol.21 , pp. 795-802
    • Fila, M.1    Levine, H.A.2
  • 4
    • 84988159342 scopus 로고
    • The blow-up rate for the heat equation with a non-linear boundary condition
    • MR 92a:35023
    • M. Fila and P. Quittner, The blow-up rate for the heat equation with a non-linear boundary condition, Math. Methods Appl. Sci. 14 (1991), 197-205. MR 92a:35023
    • (1991) Math. Methods Appl. Sci. , vol.14 , pp. 197-205
    • Fila, M.1    Quittner, P.2
  • 5
    • 38249010341 scopus 로고
    • Diffusivity versus absorption through the boundary
    • MR 94d:35083
    • J. Filo, Diffusivity versus absorption through the boundary, J. Differential Equations 99 (1992), 281-305. MR 94d:35083
    • (1992) J. Differential Equations , vol.99 , pp. 281-305
    • Filo, J.1
  • 6
    • 0001664892 scopus 로고
    • Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition
    • MR 92j:35098
    • J.L. Gómez, V. Márquez, and N. Wolanski, Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition, J. Differential Equations 92 (1991), 384-401. MR 92j:35098
    • (1991) J. Differential Equations , vol.92 , pp. 384-401
    • Gómez, J.L.1    Márquez, V.2    Wolanski, N.3
  • 7
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    • The profile near blow-up time for solutions of the heat equation with a nonlinear boundary condition
    • MR 95c:35040
    • B. Hu and H.-M. Yin, The profile near blow-up time for solutions of the heat equation with a nonlinear boundary condition, Trans. Amer. Math. Soc. 346 (1994), 117-135. MR 95c:35040
    • (1994) Trans. Amer. Math. Soc. , vol.346 , pp. 117-135
    • Hu, B.1    Yin, H.-M.2
  • 8
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    • Global behavior of positive solutions to nonlinear diffusion problems with nonlinear absorption through the boundary
    • MR 93j:35023
    • N. Wolanski, Global behavior of positive solutions to nonlinear diffusion problems with nonlinear absorption through the boundary, SIAM J. Math. Anal. 24 (1993), 317-326. MR 93j:35023
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 317-326
    • Wolanski, N.1

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