A Note on Parabolic Liouville Theorems and Blow-Up Rates for a Higher-Order Semilinear Parabolic System

Guocai Cai, Hongjing Pan and Ruixiang Xing

International Journal of Differential Equations, 2011, vol. 2011, 1-9

Abstract:

We improve some results of Pan and Xing (2008) and extend the exponent range in Liouville-type theorems for some parabolic systems of inequalities with the time variable on R . As an immediate application of the parabolic Liouville-type theorems, the range of the exponent in blow-up rates for the corresponding systems is also improved.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:896427

DOI: 10.1155/2011/896427

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