抛物双曲方程组带Neumann型边界条件的初边值问题
来源期刊:中南大学学报(自然科学版)1993年第5期
论文作者:杨灵娥
文章页码:676 - 680
关键词:耦合方程组; 整体弱解; 存在性; 爆破
Key words:coupled equations; global weak solution; existence; blow-up
摘 要:在不同的条件下,研究了一类抛物双曲弱耦合方程组的带Neumann型边界条件的初边值问题,及其整体弱解的存在性和有限时间内解的Blow-up。
Abstract: Under different conditions,we have studied the existence of global solutions and blow-up of local solutions in finite times for the initial boundary value problem of parabolic hyper-bolic weak coupled systems with Neumann boundary value condition in this paper.