A note on the life span of semilinear pseudo-parabolic equation

被引：6
|
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, FJKLMAA, Fuzhou 350117, Fujian, Peoples R China
[4] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 98卷
关键词：
Pseudo-parabolic equation; Life span; Compact support initial value; CAUCHY-PROBLEM; HEAT-EQUATION;
D O I：
10.1016/j.aml.2019.06.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Cauchy problem for the semilinear pseudo-parabolic equation with initial data with compact support. We find the life span of the solution, when the power exponent p is smaller than the Fujita exponent. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：406 / 410
页数：5
相关论文
共 50 条
  • [21] Time-discretization schema for a semilinear pseudo-parabolic equation with integral conditions
    Maqbul, Md
    Raheem, A.
    APPLIED NUMERICAL MATHEMATICS, 2020, 148 (148) : 18 - 27
  • [22] A degenerate pseudo-parabolic equation with memory
    Amar, Micol
    Andreucci, Daniele
    Gianni, Roberto
    Timofte, Claudia
    COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS, 2019, 10 (01): : 71 - 77
  • [23] SEMILINEAR PSEUDO-PARABOLIC EQUATIONS ON MANIFOLDS WITH CONICAL SINGULARITIES
    Wang, Yitian
    Liu, Xiaoping
    Chen, Yuxuan
    ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (06): : 3687 - 3720
  • [24] Blow-up phenomenon for a semilinear pseudo-parabolic equation involving variable source
    Rahmoune, Abita
    APPLICABLE ANALYSIS, 2023, 102 (01) : 88 - 103
  • [25] Bounds for blow-up time in a semilinear pseudo-parabolic equation with nonlocal source
    Lu, Yang
    Fei, Liang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [26] New blow-up criteria for a semilinear pseudo-parabolic equation with general nonlinearity
    Li, Xiatong
    Fang, Zhong Bo
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (16) : 9438 - 9455
  • [27] Bounds for blow-up time in a semilinear pseudo-parabolic equation with nonlocal source
    Yang Lu
    Liang Fei
    Journal of Inequalities and Applications, 2016
  • [28] The critical exponents for a semilinear fractional pseudo-parabolic equation with nonlinear memory in a bounded domain
    Li, Yaning
    Yang, Yuting
    ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (05): : 2555 - 2567
  • [29] Global well-posedness for a nonlocal semilinear pseudo-parabolic equation with conical degeneration
    Di, Huafei
    Shang, Yadong
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (05) : 4566 - 4597
  • [30] On regularity and asymptotic stability for semilinear nonlocal pseudo-parabolic equations
    Quyet, Dao Trong
    Thanh, Dang Thi Phuong
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2024, 43 (1-2): : 67 - 88
12345