Asymptotic expansion of solutions to the nonlinear dissipative equation with the anomalous diffusion
Asymptotic expansion of solutions to the nonlinear dissipative equation with the anomalous diffusion
复制标题
反常扩散非线性耗散方程解的渐近展开
DOI：
10.1016/j.jmaa.2015.02.025
复制
发表时间：
2015
影响因子：
1.3
通讯作者：
M.
中科院分区：
文献类型：
--
作者：
Yamamoto;M.
考虑了具有外力项的耗散方程的初值问题。该方程的耗散效应由描述反常扩散的分数拉普拉斯算子给出。本文的主要目的是给出当空间和时间变量趋于无穷大时，解之间的差及其渐近展开式的估计。作为应用，讨论了一些具体问题解的大时间性态。
The initial-value problem for the dissipative equation with the extra-force-term is considered. The dissipative effect on this equation is given by the fractional Laplacian which describes the anomalous diffusion. The main goal of this paper is to give an estimate on the difference between solutions and their asymptotic expansion as the space and the time variables tend to infinity. Furthermore, as an application, the large-time behavior of solutions to some concrete problems are discussed.