Pyramidal traveling fronts of a time periodic diffusion equation with degenerate monostable nonlinearity

Pyramidal traveling fronts of a time periodic diffusion equation with degenerate monostable nonlinearity

This article focuses on the nonplanar traveling fronts of degenerate monostable time periodic reaction-diffusion equations in Rn with n≥3. By constructing a couple of proper supersolution and subsolution, we prove the existence of periodic pyramidal traveling front in R3 and then in Rn with n>3....

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Veröffentlicht in:Electronic journal of differential equations 2023-04, Vol.2023 (1-37), p.1-23
Hauptverfasser: Bu, Zhen-Hui, Wang, Chen-Lu, Zhang, Xin-Tian
Format: Artikel
Sprache:eng
Schlagworte:
degenerate monostable nonlinear term
pyramidal traveling front
reaction-diffusion equation
time periodic
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Zusammenfassung:This article focuses on the nonplanar traveling fronts of degenerate monostable time periodic reaction-diffusion equations in Rn with n≥3. By constructing a couple of proper supersolution and subsolution, we prove the existence of periodic pyramidal traveling front in R3 and then in Rn with n>3.
ISSN:1072-6691
1072-6691
DOI:10.58997/ejde.2023.31