期刊
APPLIED MATHEMATICS LETTERS
卷 106, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2020.106348
关键词
Gierer-Meinhardt system; Global existence; Finite-time blow up
We consider the following problem with the critical exponent p - 1 = r {u(t) = d(1)Delta u - a(1)u + u(p)/u(r)(q) + delta(1)(x, t), x is an element of Omega, t>0, v(t)= d(2)Delta v - a(2)v + u(r)/v(s) + delta(2)(x,t), x is an element of Omega, t>0, partial derivative u/partial derivative eta = partial derivative v/partial derivative eta =0, x is an element of partial derivative Omega, t>0, u(x, 0) = u(0)(x), v(x,0) = v(0)(x), x is an element of Omega. Here q,r,d(1), d(2), a(1) and a(2) are positive constants, p > 1, s > -1, delta(1), delta(2), Up and vo are nonnegative smooth functions, Omega subset of R-d (d >= 1) is a bounded smooth domain. Whether d(1) not equal d(2) or d(1) = d(2), we establish the results on the finite-time blowup and global existence of the solution, which improves those of Theorem 1.2 in Li et al. (2017). (C) 2020 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据