Article
Global Attractor for Nonlinear Wave Equations with Critical Exponent on Unbounded Domain
Authors
Abstract
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 compactness of the solution semiflow in the energy space with critical nonlinear exponent by means of Vitali-type convergence theorem.
Keywords
Nonlinear wave equation, global attractor, asymptotic compactness, critical exponent, Vitali-type convergence criterion, Primary 35B40, 35B41, 35R60, 37L55, Secondary 60H15
Citation
You, Y. (2016). Global attractor for nonlinear wave equations with critical exponent on unbounded domain. Applied Mathematics and Nonlinear Sciences, 1(2), 581–602. https://doi.org/10.21042/AMNS.2016.2.00045
Y. You, “Global attractor for nonlinear wave equations with critical exponent on unbounded domain,” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 2, pp. 581–602, 2016, doi: 10.21042/AMNS.2016.2.00045.
You Y. Global attractor for nonlinear wave equations with critical exponent on unbounded domain. Applied Mathematics and Nonlinear Sciences. 2016;1(2):581–602. doi:10.21042/AMNS.2016.2.00045.
You, Y. (2016), ‘Global attractor for nonlinear wave equations with critical exponent on unbounded domain’, Applied Mathematics and Nonlinear Sciences, 1(2), pp. 581–602. Available at: https://doi.org/10.21042/AMNS.2016.2.00045.
You, Yuncheng. “Global Attractor for Nonlinear Wave Equations with Critical Exponent on Unbounded Domain.” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 2, 2016, pp. 581–602. https://doi.org/10.21042/AMNS.2016.2.00045.
You, Yuncheng. “Global Attractor for Nonlinear Wave Equations with Critical Exponent on Unbounded Domain.” Applied Mathematics and Nonlinear Sciences 1, no. 2 (2016): 581–602. https://doi.org/10.21042/AMNS.2016.2.00045.
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Published by: Engineering Journals
