BLOW-UP, EXPONENTIAL GROUTH OF SOLUTION FOR A NONLINEAR PARABOLIC EQUATION WITH p (x) - LAPLACIAN

被引：0

作者：

Ouaoua, Amar ^{[1
]}

Maouni, Messaoud ^{[1
]}

机构：

[1] Univ 20 August 1955, Lab Appl Math & Hist & Didact Math LAMAHIS, Skikda, Algeria

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2019年 / 17卷 / 04期

关键词：

nonlinear parabolic equation; p (x) Laplacian; blow-up; exponential grouth; VARIABLE-EXPONENT; SOBOLEV EMBEDDINGS; SUBDIFFERENTIALS; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the following equation ut - div (vertical bar del u vertical bar(P(x)-2) del u) vertical bar w vertical bar(m(x)-2) u(t) = b (u)(r(x)-2) u. We prove a finite time blowup result for the solutions in the case w = 0 and exponential growth in the case w > 0, with the negative initial energy in the both case.

引用

页码：620 / 629

页数：10

共 50 条

[1] Blow-up to a p-Laplacian parabolic equation with a general nonlinear source
Ding, Hang
Zhou, Jun
[J]. COMPTES RENDUS MECANIQUE, 2024, 352
[2] Existence and blow-up studies of a p(x)-Laplacian parabolic equation with memory
Narayanan, Lakshmipriya
Soundararajan, Gnanavel
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (14) : 8412 - 8429
[3] Global existence and blow-up of solutions for a parabolic equation involving the fractional p(x)-Laplacian
Boudjeriou, Tahir
[J]. APPLICABLE ANALYSIS, 2022, 101 (08) : 2903 - 2921
[4] Blow-up for p-Laplacian parabolic equations
Li, Yuxiang
Xie, Chunhong
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2003,
[5] Global Existence and Blow-Up for the Pseudo-parabolic p(x)-Laplacian Equation with Logarithmic Nonlinearity
Fugeng Zeng
Qigang Deng
Dongxiu Wang
[J]. Journal of Nonlinear Mathematical Physics, 2022, 29 : 41 - 57
[6] Global Existence and Blow-Up for the Pseudo-parabolic p(x)-Laplacian Equation with Logarithmic Nonlinearity
Zeng, Fugeng
Deng, Qigang
Wang, Dongxiu
[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2022, 29 (01) : 41 - 57
[7] Blow up and exponential growth for a pseudo-parabolic equation with p(x)-Laplacian and variable exponents
Di, Huafei
Qian, Xian
Peng, Xiaoming
[J]. APPLIED MATHEMATICS LETTERS, 2023, 138
[8] Boundary blow-up solutions to p(x)-Laplacian equations with exponential nonlinearities
Zhang, Qihu
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
[9] Blow-Up Time of Solutions for a Parabolic Equation with Exponential Nonlinearity
Wang, Yanjin
Qian, Jianzhen
[J]. MATHEMATICS, 2022, 10 (16)
[10] On blow-up regimes in one nonlinear parabolic equation
Nikol'skii I.M.
[J]. Moscow University Computational Mathematics and Cybernetics, 2007, 31 (4) : 154 - 162

← 1 2 3 4 5 →