2018年6月15日
Asymptotic behaviors of solutions to a reaction–diffusion equation with isochronous nonlinearity
Journal of Mathematical Analysis and Applications
- ,
- 巻
- 462
- 号
- 2
- 開始ページ
- 1099
- 終了ページ
- 1108
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.jmaa.2018.01.058
We study the initial boundary value problem for the reaction–diffusion equation with isochronous nonlinearity. We prove that small solutions become spatially homogeneous and is subject to the ODE part asymptotically. We also discuss blow-up of an parabolic system with quadratic nonlinearity having the origin as an uniform isochronous center.
- ID情報
-
- DOI : 10.1016/j.jmaa.2018.01.058
- ISSN : 1096-0813
- ISSN : 0022-247X
- SCOPUS ID : 85043469262