On Blow up at Space Infinity for Semilinear Heat Equations
On Blow up at Space Infinity for Semilinear Heat Equations
复制标题
DOI：
10.1016/j.jmaa.2005.05.007
复制
发表时间：
2006-04
期刊：
影响因子：
--
通讯作者：
Y. Giga;Noriaki Umeda
中科院分区：
文献类型：
--
作者：
Y. Giga;Noriaki Umeda
当初始数据u0满足时，考虑半线性热方程ut=Δu+up且p>1的非负爆炸解。结果表明，该解仅在无限远空间爆炸，并且lim|x|→∞u(x,t)是常微分方程vt=vp且v(0)=M的解。
A nonnegative blowing up solution of the semilinear heat equation ut=Δu+upwith p>1 is considered when initial data u0satisfies It is shown that the solution blows up only at space infinity and that lim|x|→∞u(x,t) is the solution of the ordinary differential equation vt=vpwith v(0)=M.