Geodesic
Note on blow-up of solutions for a porous medium equation with convection and boundary flux
Zhiyong Wang 1   ; Jingxue Yin 2
1 Department of Mathematics Jilin University Changchun, 130012, P.R. China
2 School of Mathematical Sciences South China Normal University Guangzhou, 510631, P.R. China
Colloquium Mathematicum, Tome 128 (2012) no. 2, pp. 223-228 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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De Pablo et al. [Proc. Roy. Soc. Edinburgh Sect. A 138 (2008), 513–530] considered a nonlinear boundary value problem for a porous medium equation with a convection term, and they classified exponents of nonlinearities which lead either to the global-in-time existence of solutions or to a blow-up of solutions. In their analysis they left open the case of a certain critical range of exponents. The purpose of this note is to fill this gap.
DOI : 10.4064/cm128-2-7
Keywords: pablo proc nbsp roy nbsp soc nbsp edinburgh sect nbsp considered nonlinear boundary value problem porous medium equation convection term classified exponents nonlinearities which lead either global in time existence solutions blow up solutions their analysis certain critical range exponents purpose note fill gap

Zhiyong Wang  1   ; Jingxue Yin  2

1 Department of Mathematics Jilin University Changchun, 130012, P.R. China
2 School of Mathematical Sciences South China Normal University Guangzhou, 510631, P.R. China 
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Zhiyong Wang; Jingxue Yin. Note on blow-up of solutions for a porous medium equation with convection and boundary flux. Colloquium Mathematicum, Tome 128 (2012) no. 2, pp. 223-228. doi: 10.4064/cm128-2-7

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