Existence and Nonexistence of Global Solutions of the Quasilinear Parabolic Equations with Inhomogeneous Terms

被引：0
|
作者：
Kobayashi, Yasumaro [1 ]
机构：
[1] Tokyo Metropolitan Univ, Fac Urban Liberal Arts, Tokyo 1920397, Japan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2010年
关键词：
CRITICAL EXPONENTS; BLOW-UP; SYSTEMS;
D O I：
10.1155/2010/451619
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the quasilinear parabolic equation with inhomogeneous term u(t) = Delta u(m)+< x >(sigma)u(p)+f(x), u(x,0) = u(0)(x), where 0 <= f(x), u(0)(x) is an element of C(R-N), m > 0, p > max{1, m}, and sigma > -2, < x > := (vertical bar x vertical bar(2)+1)(1/2). In this paper, we investigate the critical exponents of this equation.
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页数：11
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