EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE PLATE EQUATION WITH NONLOCAL NONLINEARITY IN Rn

被引：7

作者：

Khanmamedov, Azer ^{[1
]}

Simsek, Sema ^{[1
]}

机构：

[1] Hacettepe Univ, Dept Math, Fac Sci, TR-06800 Ankara, Turkey

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 01期

关键词：

Plate equation; global attractor; LONG-TIME DYNAMICS; TRANSMISSION PROBLEM; CRITICAL EXPONENT; WAVE; MODEL;

D O I：

10.3934/dcdsb.2016.21.151

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Cauchy problem for the semilinear plate equation with nonlocal nonlinearity. Under mild conditions on the damping coefficient, we prove that the semigroup generated by this problem possesses a global attractor.

引用

页码：151 / 172

页数：22

共 50 条

[1] Regularity of the Global Attractor for the Plate Equation with Nonlocal Nonlinearity in Rn
Yayla, Sema
[J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016), 2017, 1863
[2] GLOBAL ATTRACTOR FOR THE AUTONOMOUS WAVE EQUATION IN Rn WITH CONTINUOUS NONLINEARITY
Stanzhyts'kyi, O. M.
Horban', N. V.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2008, 60 (02) : 299 - 309
[3] STRONG GLOBAL ATTRACTOR FOR A QUASILINEAR NONLOCAL WAVE EQUATION ON RN
Papadopoulos, Perikles G.
Stavrakakis, Nikolaos M.
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[4] Existence of a global attractor for a p-Laplacian equation in Rn
Yang, Mei-Hua
Sun, Chun-You
Zhong, Cheng-Kui
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (01) : 1 - 13
[5] On global attractor for m-Laplacian parabolic equation with local and nonlocal nonlinearity
Chen Caisheng
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (01) : 318 - 332
[6] Global attractors for the plate equation with nonlocal nonlinearity in unbounded domains
Arat, Zehra
Khanmamedov, Azer
Simsek, Sema
[J]. DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2014, 11 (04) : 361 - 379
[7] Existence of a global attractor for the plate equation with a critical exponent in an unbounded domain
Khanmamedov, AK
[J]. APPLIED MATHEMATICS LETTERS, 2005, 18 (07) : 827 - 832
[8] Regularity and finite dimensionality of attractor for plate equation on Rn
Hai-bin Xiao
[J]. Applied Mathematics and Mechanics, 2010, 31 : 1453 - 1462
[9] Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds
Qingqing Peng
Zhifei Zhang
[J]. Applied Mathematics & Optimization, 2023, 88
[10] Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds
Peng, Qingqing
Zhang, Zhifei
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2023, 88 (02):

← 1 2 3 4 5 →