Global and Nonglobal Solutions for Pseudo-Parabolic Equation with Inhomogeneous Terms

被引：0
|
作者：
Yang, Chunxiao [1 ]
Fan, Jieyu [1 ]
Gao, Miao [1 ]
机构：
[1] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China
来源：
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 37卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Pseudo-parabolic equation; critical Fujita exponent; global solutions; blow-up; CAUCHY-PROBLEM; SOBOLEV-TYPE;
D O I：
10.4208/jpde.v37.n3.5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the Cauchy problem of pseudo-parabolic equation with inhomogeneous terms u(t)= triangle u+k triangle u(t)+w(x)u(p)(x,t). In [1], Li et al. gave the critical Fujita exponent, second critical exponent and the life span for blow-up solutions under w(x) = |x |(sigma)with sigma >0. We further generalize the weight function w(x) similar to| x| (sigma )for -2< sigma <0, and discuss the global and non-global solutions to obtain the critical Fujita exponent.
引用
收藏
页码：295 / 308
页数：14
相关论文
共 50 条
12345