A semilinear pseudo-parabolic equation with initial data non-rarefied at ∞

被引：13
|
作者：
Cao, Yang [1 ]
Wang, Zhiyong [2 ,3 ]
Yin, Jingxue [4 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[2] Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China
[3] Fujian Normal Univ, Fujian Key Lab Math Anal & Applicat, Fuzhou 350117, Fujian, Peoples R China
[4] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2019年 / 277卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Pseudo-parabolic equation; Life span; Non-rarefied; LIFE-SPAN; CAUCHY-PROBLEM; HEAT-EQUATION; BLOW-UP; EXISTENCE;
D O I：
10.1016/j.jfa.2019.05.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the Cauchy problem for a semilinear pseudo-parabolic equation with initial data non-rarefied at infinity. Our interest lies in the discussion of the effect of the non rarefied factors on the bow-up phenomenon and the life span of the solution. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：3737 / 3756
页数：20
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