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.

引用

页码：224 / 232

页数：9

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