A Liouville property and quasiconvergence for a semilinear heat equation
A Liouville property and quasiconvergence for a semilinear heat equation
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DOI：
10.1016/j.jde.2003.10.019
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发表时间：
2005
影响因子：
2.4
通讯作者：
P. Polácik;E. Yanagida
中科院分区：
文献类型：
--
作者：
P. Polácik;E. Yanagida
研究一类具有幂非线性项的超临界半线性扩散方程.通过建立一个Liouville型性质，证明了一类整体解的拟收敛性（收敛到一个稳定状态集）。证明方法依赖于相似变量和不变流形的思想。
This paper is concerned with a supercritical semilinear diffusion equation with the power nonlinearity. Via establishing a Liouville-type property, we prove the quasiconvergence (convergence to a set of steady states) of a large class of global solutions. The method of proof relies on similarity variables and invariant manifold ideas.