[1]黄骏.一类退化抛物型方程组初边值问题解的爆破性质[J].东南大学学报(自然科学版),1988,18(5):39-46.[doi:10.3969/j.issn.1001-0505.1988.05.006]
 Huang Jun (Department of Mathematics and Mechanics).On the Blowing-up Behavior of Solutions for a Degenerate Parabolic Systems[J].Journal of Southeast University (Natural Science Edition),1988,18(5):39-46.[doi:10.3969/j.issn.1001-0505.1988.05.006]
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一类退化抛物型方程组初边值问题解的爆破性质()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
18
期数:
1988年第5期
页码:
39-46
栏目:
本刊信息
出版日期:
1988-09-20

文章信息/Info

Title:
On the Blowing-up Behavior of Solutions for a Degenerate Parabolic Systems
作者:
黄骏
南京工学院数学力学系
Author(s):
Huang Jun (Department of Mathematics and Mechanics)
关键词:
特征函数 爆破 退化 非线性 弱解
Keywords:
characteristic functions blow-up degenerate non-linear weak solutions
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1988.05.006
摘要:
考虑问题其中Ω是R^N中的有界区域,具有光滑的边界δΩ,mi>1为常数。本文在fi(u_1,…,u_m)≥sum from J=1 to m Ciju^a_j,αij≥mj,i=1,…,m的条件下,运用特征函数法讨论了解的爆破性质。
Abstract:
This paper discusses the following problem: here Ω is a bounded domain in R^N with a smooth boundary Ω, m_i=Const.>1. Using the method of characteristic function, the author proves that the solution will blow up at a finite time provided f_i(u_1…, u_m)≥sum from j=1 to m(c_{ij}u_j^αij, α_{ij}≥m_j, c_{ij}≥0, i=1, …, m.

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更新日期/Last Update: 2013-04-30