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ASYMPTOTIC BEHAVIOR OF ENTIRE SOLUTIONS TO REACTION-DIFFUSION EQUATIONS IN AN INFINITE STAR GRAPH
| Title: | ASYMPTOTIC BEHAVIOR OF ENTIRE SOLUTIONS TO REACTION-DIFFUSION EQUATIONS IN AN INFINITE STAR GRAPH |
| Authors: | Jimbo, Shuichi Browse this author →KAKEN DB | | Morita, Yoshihisa Browse this author |
| Keywords: | Reaction-diffusion equation | | bistable nonlinearity | | entire solution | | traveling wave | | front propagation |
| Issue Date: | Sep-2021 |
| Publisher: | American Institute of Mathematical Sciences (AIMS) |
| Journal Title: | Discrete and Continuous Dynamical Systems |
| Volume: | 41 |
| Issue: | 9 |
| Start Page: | 4013 |
| End Page: | 4039 |
| Publisher DOI: | 10.3934/dcds.2021026 |
| Abstract: | We deal with the bistable reaction-diffusion equation in an infinite star graph, which consists of several half-lines with a common end point. The aim of our study is to show the existence of front-like entire solutions together with the asymptotic behaviors as t -> +/-infinity and classify the entire solutions according to their behaviors, where an entire solution is meant by a classical solution defined for all t is an element of(-infinity,infinity). To this end, we give a condition under that the front propagation is blocked by the emergence of standing stationary solutions. The existence of an entire solution which propagates beyond the blocking is also shown. |
| Type: | article |
| URI: | http://hdl.handle.net/2115/81727 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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