Determining nodes for semilinear parabolic equations
Determining nodes for semilinear parabolic equations
复制标题
确定半线性抛物线方程的节点
DOI：
10.1016/j.jmaa.2011.01.064
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
R.Kakizawa
中科院分区：
文献类型：
--
作者：
遠山武範;齊藤高志;島川祐一;R.Kakizawa;R.Kakizawa
利用强解在有限集上的渐近性态，研究了一般半线性抛物方程初边值问题强解的渐近性态.更确切地说，如果强解的渐近行为在一个称为决定节点的适当的有限集合上已知，那么强解本身的渐近行为就完全决定了。我们用能量方法证明了上述性质。
We are concerned with the determination of the asymptotic behavior of strong solutions to the initial-boundary value problem for general semilinear parabolic equations by the asymptotic behavior of these strong solutions on a finite set. More precisely, if the asymptotic behavior of the strong solution is known on a suitable finite set which is called determining nodes, then the asymptotic behavior of the strong solution itself is entirely determined. We prove the above property by the energy method.