@Article{JPDE-11-3,
author = {},
title = {Global Existence and Blow-up for a Parabolic System with Nonlinear Boundary Conditions},
journal = {Journal of Partial Differential Equations},
year = {1998},
volume = {11},
number = {3},
pages = {231--244},
abstract = { This paper deals with the global existence and blow-up of positive solutions to the systems: u_t = ∇(u^∇u) + u¹ + v^a v_t = ∇(v^n∇v) + u^b + v^k in B_R × (0, T) \frac{∂u}{∂η} = u^αv^p, \frac{∂v}{∂η} = u^qv^β on S_R × (0, T) u(x, 0) = u_0(x), v(x, 0} = v_0(x) in B_R We prove that there exists a global classical positive solution if and only if l ≤ l, k ≤ 1, m + α ≤ 1, n + β ≤ 1, pq ≤ (1 - m - α)(1 - n - β),ab ≤ 1, qa ≤ (1 - n - β) and pb ≤ (1 - m - α).},
issn = {2079-732X},
doi = {https://doi.org/1998-JPDE-5567},
url = {https://global-sci.com/article/88811/global-existence-and-blow-up-for-a-parabolic-system-with-nonlinear-boundary-conditions}
}