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

共 50 条

[1] Nonexistence of global solutions for an inhomogeneous pseudo-parabolic equation
Borikhanov, Meiirkhan B.
Torebek, Berikbol T.
APPLIED MATHEMATICS LETTERS, 2022, 134
[2] Cauchy problems of pseudo-parabolic equations with inhomogeneous terms
Li, Zhongping
Du, Wanjuan
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (06): : 3181 - 3203
[3] Cauchy problems of pseudo-parabolic equations with inhomogeneous terms
Zhongping Li
Wanjuan Du
Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 3181 - 3203
[4] Global solutions of a fractional semilinear pseudo-parabolic equation with nonlocal source
Li, Na
Fang, Shaomei
APPLICABLE ANALYSIS, 2022, : 2486 - 2499
[5] A pseudo-parabolic equation with logarithmic nonlinearity: Global existence and blowup of solutions
Jayachandran, Sushmitha
Soundararajan, Gnanavel
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (15) : 11993 - 12011
[6] On a semilinear pseudo-parabolic equation with nonlinear convolution terms
Liu, Huijie
Kim, Eun-Seok
Fang, Zhong Bo
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 84
[7] INITIAL BOUNDARY VALUE PROBLEM FOR A INHOMOGENEOUS PSEUDO-PARABOLIC EQUATION
Zhou, Jun
ELECTRONIC RESEARCH ARCHIVE, 2020, 28 (01): : 67 - 90
[8] Global existence and nonexistence of solutions for the nonlinear pseudo-parabolic equation with a memory term
Di, Huafei
Shang, Yadong
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (17) : 3923 - 3936
[9] The global existence and time-decay for the solutions of the fractional pseudo-parabolic equation
Jin, Lingyu
Li, Lang
Fang, Shaomei
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (10) : 2221 - 2232
[10] Critical exponent of non-global solutions for an inhomogeneous pseudo-parabolic equation with space-time forcing term
Zhao, Binli
Zhou, Jun
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (03) : 1599 - 1612

← 1 2 3 4 5 →