Global existence and asymptotic behavior of solutions to a class of fourth-order wave equations

DOI10.1186/1687-2770-2013-168zbMath1295.35306OpenAlexW2134815061WikidataQ59301134 ScholiaQ59301134MaRDI QIDQ2251320

Yuanzhang Zhang, Zhitao Zhuang

Publication date: 11 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-168

zbMATH Keywords

contraction mapping principleoptimal decay estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for higher-order hyperbolic equations (35L30) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (1)

Asymptotic profile of solutions to the semilinear beam equation

Cites Work

• Global existence and asymptotic behavior of solutions for a semi-linear wave equation
• Optimal decay rate of solutions for Cahn-Hilliard equation with inertial term in multi-dimensions
• On the asymptotic behavior of solution for the generalized IBq equation with hydrodynamical damped term
• Existence and nonexistence of global solutions for a class of nonlinear wave equations of higher order
• Global existence and asymptotic behaviour of solutions for the generalized Boussinesq equation
• On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics
• HYPERBOLIC RELAXATION OF THE VISCOUS CAHN–HILLIARD EQUATION IN 3-D

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