Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities
This article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities. Based on the existence of pyramidal traveling fronts established by Bu et al., we characterize the pyramidal traveling...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-03-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2025-0079 |
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| Summary: | This article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities. Based on the existence of pyramidal traveling fronts established by Bu et al., we characterize the pyramidal traveling front as a combination of planar fronts on the lateral surfaces and establish some important estimates. Then, we show the asymptotic stability of pyramidal traveling fronts by using the sub-super solution method combined with the comparison principle. |
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| ISSN: | 2191-950X |