Front propagation and blocking of time periodic bistable reaction-diffusion equations in cylindrical domains

Entire solutions of bistable reaction-diffusion systems in unbounded domain with multiple cylindrical branches

“…where δ is given in (21). If ε ≥ δ, according to (38) from Lemma 3.1, just set t ε = t 2 to obtain that (44) holds.…”

“…For ξ(t ′ , x) > C 6 , by (20), (21) and the definition of u(t, x), one has p a (ξ(t ′ , x)) ≡ p + a and ∥u(t, x)∥ ≤ min…”

“…They also gave some conditions (for instance, Ω is a dilated domain) such that the propagation of u is complete. We also refer to [21] for the time-periodic case.…”