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

页码：295 / 308

页数：14