|
|||||
|
|
Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance |
|
| Authors: | Yoshiyuki Kagei |
| Affiliation: | a Faculty of Mathematics, Kyushu University, 744, Motooka, Nishi-ku, Fukuoka, 819-0395, Japan b Department of Mathematics, Graduate School of Science, Kobe University, 1-1, Rokkodai, Nada-ku, Kobe, 657-8501, Japan |
| Abstract: | There are wide classes of nonlinear evolution equations which possess invariant properties with respect to a scaling and translations. If a solution is invariant under the scaling then it is called a self-similar solution, which is a candidate for the asymptotic profile of general solutions at large time. In this paper we establish an abstract framework to find more precise asymptotic profiles by shifting self-similar solutions suitably. |
| Keywords: | Evolution equations Large time behaviors of solutions Self-similar solutions |
| 本文献已被 ScienceDirect 等数据库收录！ | |