Uniqueness and stability of forced waves for the Fisher-KPP equation in a shifting environment
學年 112
學期 2
出版（發表）日期 2024-07-08
作品名稱 Uniqueness and stability of forced waves for the Fisher-KPP equation in a shifting environment
作品名稱（其他語言）
著者 Jong-Shenq Guo; Karen Guo; Masahiko Shimojo
單位
出版者
著錄名稱、卷期、頁數 Nonlinear Analysis 247, 113607
摘要 In this paper, we investigate the existence, uniqueness and stability of forced waves for the Fisher–KPP equation in a shifting environment without imposing the monotonicity condition on the shifting intrinsic growth term. First, the existence of forced waves for some range of shifting speeds is proved. Then we prove the uniqueness of saturation forced waves. Moreover, a new method is introduced to derive the non-existence of forced waves. Finally, we derive the stability of forced waves under certain perturbation of a class of initial data.
關鍵字
語言 en_US
ISSN 0362-546X; 1873-5215
期刊性質 國外
收錄於 SCI Scopus
產學合作
通訊作者
審稿制度 否
國別 NLD
公開徵稿
出版型式 ,電子版,紙本
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