Global Attractor for Nonlinear Wave Equations with Critical Exponent on Unbounded Domain

Global Attractor for Nonlinear Wave Equations with Critical Exponent on Unbounded Domain

Asymptotic and global dynamics of weak solutions for a damped nonlinear wave equation with a critical growth exponent on the unbounded domain ℝn(n ≥ 3) is investigated. The existence of a global attractor is proved under typical dissipative condition, which features the proof of asymptotic compactne...

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Bibliographic Details
Main Author: You Yuncheng
Format: Article
Language:English
Published: Sciendo 2016-12-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
nonlinear wave equation
global attractor
asymptotic compactness
critical exponent
vitali-type convergence criterion
primary 35b40
35b41
35r60
37l55
secondary 60h15
Online Access:https://doi.org/10.21042/AMNS.2016.2.00045

Internet

https://doi.org/10.21042/AMNS.2016.2.00045

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