Note on blow-up of solutions for a porous medium equation with convection and boundary flux

• Autorzy: Zhiyong Wang , Jingxue Yin
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35B33: Critical exponents
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 128
• Numer: 2
• Strony: 223-228

Daty

wydano

2012

Twórcy

autor

Zhiyong Wang

• Department of Mathematics, Jilin University, Changchun, 130012, P.R. China

autor

Jingxue Yin

• School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P.R. China

Identyfikatory

DOI

10.4064/cm128-2-7