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

[摘要] 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 Rn3.

[学科分类] 数学（综合）

[关键词] Reaction-diffusion equation;time periodic;pyramidal traveling front;degenerate monostable nonlinear term