Free boundary problems with local–nonlocal diffusions and different free boundaries II: Spreading–vanishing and long-time behavior. (April 2022)

• Record Type: Journal Article
• Authors: Dong, Xiu; Wang, Jianping; Wang, Mingxin
• Is Part Of: Nonlinear analysis. Volume 64(2022)
• Publication Date: 2022-04
• Subjects: Local–nonlocal diffusions -- Different free boundaries -- Spreading–vanishing -- Long-time behavior -- Spreading speed; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2021.103445
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This is part II of our investigation on the free boundary problems with local–nonlocal diffusions and different free boundaries. In part I (see Dong et al., 0000), the existence, uniqueness, regularity and estimates of global solution are obtained. In part II here, we investigate the long time behavior of global solution, give the criteria governing spreading and vanishing, as well as the spreading speed when spreading happens.