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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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2023; no. 1-37; pp. 1 - 23
Main Authors Bu, Zhen-Hui, Wang, Chen-Lu, Zhang, Xin-Tian
Format Journal Article
LanguageEnglish
Published Texas State University 03.04.2023
Subjects
degenerate monostable nonlinear term
pyramidal traveling front
reaction-diffusion equation
time periodic
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Summary: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