BLOW-UP OF SOLUTIONS FOR A SYSTEM OF NONLINEAR PARABOLIC EQUATIONS

被引:0
|
作者
Wu, Shun-Tang [1 ]
机构
[1] Natl Taipei Univ Technol, Gen Educ Ctr, Taipei 106, Taiwan
关键词
Blow-up; lower bound of blow-up time; parabolic problem; SEMILINEAR HEAT-EQUATIONS; NONEXISTENCE; EXISTENCE; THEOREMS; BOUNDS; TIME;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The initial boundary value problem for a system of parabolic equations in a bounded domain is considered. We prove that, under suitable conditions on the nonlinearity and certain initial data, the lower bound for the blow-up time is determined if blow-up does occur. In addition, a criterion for blow-up to occur and conditions which ensure that blow-up does not occur are established.
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页数:9
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