A NOTE ON CRITICAL POINT AND BLOW-UP RATES FOR SINGULAR AND DEGENERATE PARABOLIC EQUATIONS

被引：0
|
作者：
Liu, B. [1 ]
Li, F. [1 ]
机构：
[1] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2015年 / 41卷 / 05期
关键词：
singular and degenerate parabolic equations; blow-up classification; simultaneous blow-up rates; BOUNDARY; SYSTEM; EXISTENCE; PROFILES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider singular and degenerate parabolic equations u(t) = (x(alpha)u(x))(x) + u(m)(x(0), t)v(n)(x(0), t), v(t) = (x(beta)v(x))(x) + u(q)(x(0), t)v(p)(x(0), t), in (0, a) x (0, T), subject to null Dirichlet boundary conditions, where m,n,p,q >= 0, alpha, beta is an element of[0,2) and x(0) is an element of (0, a). The optimal classification of non-simultaneous and simultaneous blow-up solutions is determined. Additionally, we obtain blow-up rates and sets for the solutions. The singular rates for the derivation of the solutions are given.
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收藏
页码：1195 / 1205
页数：11
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