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Blow-up and global existence for a coupled system of degenerate parabolic equations in a bounded domain
详细信息
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作者:
Chunlai Mu
;
Xuegang Hu
;
Yuhuan
Li
;
Zejian
Cui
关键词:
Global existence
;
blow-up
;
degenerate parabolic system
刊名:Acta Mathematica Scientia
出版年:2007
出版时间:January 2007
年:2007
卷:27
期:1
页码:92-106
全文大小:772 K
文摘
This article deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system
u
t
=
Δ
u
l
+
u
p
1
v
q
1
and
v
t
=
Δ
v
m
+
u
p
2
v
q
2
with homogeneous Dirichlet boundary conditions. The results depend crucially on the sign of the difference
p
2
q
1-(
l
-
p
1)(
m
-
q
2)
, the initial data, and the domain ω
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