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

页码：1914 / 1926

页数：13

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