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

页码：3737 / 3756

页数：20

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