BLOW-UP FOR A SEMILINEAR PARABOLIC EQUATION WITH NONLINEAR MEMORY AND NONLOCAL NONLINEAR BOUNDARY

被引：9

作者：

Liu, Dengming ^{[1
]}

Mu, Chunlai ^{[2
]}

Ahmed, Iftikhar ^{[2
]}

机构：

[1] Hunan Univ Sci & Technol, Sch Math & Computat Sci, Xiangtan 411201, Hunan, Peoples R China

[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2013年 / 17卷 / 04期

关键词：

Semilinear parabolic equation; Global existence; Blow-up; Nonlinear memory; Nonlocal nonlinear boundary condition; REACTION-DIFFUSION EQUATION; POSITIVE SOLUTIONS; COMPARISON PRINCIPLE; GLOBAL EXISTENCE; HEAT-EQUATION; SYSTEMS;

D O I：

10.11650/tjm.17.2013.2648

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a semilinear parabolic equation ut = Delta u + integral(t)(0) u(p)ds - ku(q), x is an element of Omega, t > 0 with boundary condition u (x, t) = integral(Omega) f (x, y) u(l) (y, t)dy for x is an element of partial derivative Omega, t > 0, where p, q, l, k > 0. The blow-up criteria and the blow-up rate are obtained under some appropriate assumptions.

引用

页码：1353 / 1370

页数：18

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