Asymptotic smoothing and global attractors for a class of nonlinear evolution equations

DOI10.1155/2013/989475zbMath1267.35038OpenAlexW1998841511WikidataQ59000927 ScholiaQ59000927MaRDI QIDQ1952500

Zhufang He, Chen Xi, Zheng Jun, Yong Qin Xie

Publication date: 31 May 2013

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/989475

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40)

Cites Work

• Global nonexistence theorems for quasilinear evolution equations with dissipation
• Uniform exponential attractors for a singularly perturbed damped wave equation.
• Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent
• On the strongly damped wave equation
• The existence of global attractors for a class nonlinear evolution equation
• A symmetric regularized-long-wave equation
• Smooth attractors for strongly damped wave equations
• Dynamics of strongly damped wave equations in locally uniform spaces: Attractors and asymptotic regularity
• Local well posedness, asymptotic behavior and asymptotic bootstrapping for a class of semilinear evolution equations of the second order in time
• Solitary-Wave Interactions in Elastic Rods
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