Transition from decay to blow-up in a parabolic system
نویسنده
چکیده
We show a locally uniform bound for global nonnegative solutions of the system ut = ∆u + uv − bu, vt = ∆v + au in (0, +∞) × Ω, u = v = 0 on (0, +∞)×∂Ω, where a > 0, b ≥ 0 and Ω is a bounded domain in R n , n ≤ 2. In particular, the trajectories starting on the boundary of the domain of attraction of the zero solution are global and bounded.
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تاریخ انتشار 2007