Convergence to traveling waves for time-periodic bistable reaction-diffusion equations.
In: Proceedings of the American Mathematical Society, Jg. 149 (2021-04-01), Heft 4, S. 1647-1661
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Zugriff:
We consider the equation ut = uxx + ƒ(t,u), x ∈ R, t > 0, where ƒ(t,x) periodically depends on t and is of bistable type. Classical results showed that for a large class of initial functions, the solutions converge to a periodic traveling wave if it connects two linearly stable time-periodic states. Under some conditions on the initial functions, we prove this convergence result by a new approach which allows the time-periodic states to be degenerate. [ABSTRACT FROM AUTHOR]
Titel: |
Convergence to traveling waves for time-periodic bistable reaction-diffusion equations.
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Autor/in / Beteiligte Person: | Ding, Weiwei |
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Zeitschrift: | Proceedings of the American Mathematical Society, Jg. 149 (2021-04-01), Heft 4, S. 1647-1661 |
Veröffentlichung: | 2021 |
Medientyp: | academicJournal |
ISSN: | 0002-9939 (print) |
DOI: | 10.1090/proc/15338 |
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