Weak solutions for a high-order pseudo-parabolic equation with variable exponents

被引：17

作者：

Gao, Yunzhu ^{[1
,2
]}

Guo, Bin ^{[2
]}

Gao, Wenjie ^{[2
]}

机构：

[1] Beihua Univ, Dept Math, Jilin 132013, Peoples R China

[2] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

来源：

APPLICABLE ANALYSIS | 2014年 / 93卷 / 02期

关键词：

pseudo-parabolic equations; existence; uniqueness; variable exponents; 35K35; 35K55; 35K65; EXISTENCE;

D O I：

10.1080/00036811.2013.772138

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors investigate the existence and uniqueness of weak solutions of the initial and boundary value problem for a fourth-order pseudo-parabolic equation with variable exponents of non-linearity. Finally, the authors also obtain a long-time behaviour of weak solutions.

引用

页码：322 / 338

页数：17

共 50 条

[41] Positive solutions of a nonlinear parabolic equation with double variable exponents
Huashui Zhan
Analysis and Mathematical Physics, 2022, 12
[42] A Pseudo-parabolic Type Equation with Nonlinear Sources
LI YING-HUA~1
CommunicationsinMathematicalResearch, 2011, 27 (01) : 37 - 46
[43] Analysis of a pseudo-parabolic equation by potential wells
Jun Zhou
Guangyu Xu
Chunlai Mu
Annali di Matematica Pura ed Applicata (1923 -), 2021, 200 : 2741 - 2766
[44] SMALL PERTURBATION OF A SEMILINEAR PSEUDO-PARABOLIC EQUATION
Cao, Yang
Yin, Jingxue
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (02) : 631 - 642
[45] PSEUDO-PARABOLIC REGULARIZATION OF THE GENERALIZED KORTWEGDEVRIES EQUATION
TAKAHASHI, T
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1979, 55 (08) : 290 - 292
[46] A Cauchy Problem for a Third-Order Pseudo-Parabolic Equation with the Bessel Operator
Sitnik, S. M.
Karimov, Sh. T.
Yulbarsov, Kh. A.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2024, 45 (09) : 4599 - 4612
[47] Continuity Result on the Order of a Nonlinear Fractional Pseudo-Parabolic Equation with Caputo Derivative
Binh, Ho Duy
Hoang, Luc Nguyen
Baleanu, Dumitru
Van, Ho Thi Kim
FRACTAL AND FRACTIONAL, 2021, 5 (02)
[48] A Semilinear Pseudo-Parabolic Equation in Exterior Domains
Yang CAO
Jingxue YIN
Journal of Mathematical Research with Applications, 2019, 39 (06) : 607 - 618
[49] On a boundary control problem for a pseudo-parabolic equation
Dekhkonov, Farrukh
COMMUNICATIONS IN ANALYSIS AND MECHANICS, 2023, 15 (02): : 289 - 299
[50] Analysis of a pseudo-parabolic equation by potential wells
Zhou, Jun
Xu, Guangyu
Mu, Chunlai
ANNALI DI MATEMATICA PURA ED APPLICATA, 2021, 200 (06) : 2741 - 2766

← 1 2 3 4 5 →