Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition

被引：6

作者：

Fang, Zhong Bo ^{[1
]}

Chai, Yan ^{[1
]}

机构：

[1] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

POROUS-MEDIUM EQUATION; HEAT-EQUATION; NONEXISTENCE; TIME;

D O I：

10.1155/2014/289245

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the conditions on nonlinearity to guarantee that u(x, t) exists globally or blows up at some finite time t*. Moreover, an upper bound for t* is derived. Under somewhat more restrictive conditions, a lower bound for t* is also obtained.

引用

页数：8

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