Gradient blow-up solution with small initial datum for a Hamilton-Jacobi equation with degenerate diffusion

被引：0
|
作者：
Wang, Zhiyong [1 ,2 ]
Yin, Jingxue [3 ]
机构：
[1] Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China
[2] Fujian Normal Univ, Fujian Key Lab Math Anal & Applicat, Fuzhou 350117, Fujian, Peoples R China
[3] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 472卷 / 02期
关键词：
Gradient blow-up; Degenerate Hamilton-Jacobi equation; CRITICAL EXPONENTS; GLOBAL-SOLUTIONS; BOUNDEDNESS; BOUNDARY;
D O I：
10.1016/j.jmaa.2018.12.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the gradient blow-up phenomena for a Hamilton-Jacobi equation with degenerate diffusion u(t) = (vertical bar u(x)vertical bar(p-2)u(x))(x) + vertical bar u(x)vertical bar(q) in an interval for q > p >= 2. In the main theorem, we construct a gradient blow-up solution with a small L-1 initial datum. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：1914 / 1926
页数：13
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