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Blow-up results and localization of blow-up points in an $N$-dimensional smooth domain
D. F. Rial and J. D. Rossi
Source: Duke Math. J. Volume 88, Number 2
(1997), 391-405.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077241584
Mathematical Reviews number (MathSciNet): MR1455526
Zentralblatt MATH identifier: 0884.35071
Digital Object Identifier: doi:10.1215/S0012-7094-97-08816-5
References
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Mathematical Reviews (MathSciNet): MR95c:35040
Zentralblatt MATH: 0823.35020
Digital Object Identifier: doi:10.2307/2154944
[2] H. A. Levine and L. E. Payne, Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time, J. Differential Equations 16 (1974), 319–334.
Mathematical Reviews (MathSciNet): MR57:10235
Zentralblatt MATH: 0285.35035
Digital Object Identifier: doi:10.1016/0022-0396(74)90018-7
[3] J. López-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), no. 2, 384–401.
Mathematical Reviews (MathSciNet): MR92j:35098
Zentralblatt MATH: 0735.35016
Digital Object Identifier: doi:10.1016/0022-0396(91)90056-F
[4] W. Walter, On existence and nonexistence in the large of solutions of parabolic differential equations with a nonlinear boundary condition, SIAM J. Math. Anal. 6 (1975), 85–90.
Mathematical Reviews (MathSciNet): MR51:1122
Zentralblatt MATH: 0268.35052
Digital Object Identifier: doi:10.1137/0506008
[5] Ming Xin Wang and Yong Hui Wu, Global existence and blow-up problems for quasilinear parabolic equations with nonlinear boundary conditions, SIAM J. Math. Anal. 24 (1993), no. 6, 1515–1521.
Mathematical Reviews (MathSciNet): MR95c:35132
Zentralblatt MATH: 0790.35042
Digital Object Identifier: doi:10.1137/0524085
[6] N. Wolanski, Global behavior of positive solutions to nonlinear diffusion problems with nonlinear absorption through the boundary, SIAM J. Math. Anal. 24 (1993), no. 2, 317–326.
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