Upper and lower bounds of blow-up time in a non-local thermistor problem

被引：0
|
作者：
Kavallaris, NI [1 ]
Nikolopoulos, CV [1 ]
Tzanetis, DE [1 ]
机构：
[1] Natl Tech Univ Athens, Fac Sci Appl, Dept Math, Athens 15780, Greece
来源：
Scattering and Biomedical Engineering: Modeling and Applications | 2002年
关键词：
D O I：
10.1142/9789812777140_0018
中图分类号：
R318 [生物医学工程];
学科分类号：
0831 ;
摘要：
We consider the non-local equation, u(t) = u(xx) + lambda(U)/(integral(1)(-1)f(u)dx)(2) with Robin boundary conditions. It is known that for lambda > lambda*the solution u(x, t) blows up globally in finite time t*. We find, for decreasing f and for lambda > lambda*, upper and lower bounds for t*, by using comparison methods.
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收藏
页码：224 / 232
页数：9
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