Global existence and optimal time-decay estimates of solutions to the generalized double dispersion equation on the framework of Besov spaces

DOI10.1016/j.jmaa.2019.123455zbMath1426.35086OpenAlexW2971331008MaRDI QIDQ2325985

Shuichi Kawashima, Jiang Xu, Yu-Zhu Wang

Publication date: 4 October 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123455

zbMATH Keywords

critical Besov spacesoptimal decay estimatesfrequency-localization Duhamel principle

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (4)

Global existence for the Jordan-Moore-Gibson-Thompson equation in Besov spaces ⋮ Global existence and time-decay rates of solutions to the generalized Boussinesq equation with weak damping ⋮ Asymptotic profiles of solutions to the generalized double dispersion equation with structural damping ⋮ Asymptotic profiles of solutions to sixth order Boussinesq-type equations with damping

Cites Work

• Unnamed Item
• Unnamed Item
• Optimal decay rates and asymptotic profile for the plate equation with structural damping
• Frequency-localization Duhamel principle and its application to the optimal decay of dissipative systems in low dimensions
• Decay property for a plate equation with memory-type dissipation
• Global existence and asymptotic behavior of solutions for quasi-linear dissipative plate equation
• Global existence and asymptotic behavior of solutions for a semi-linear wave equation
• Initial boundary value problem of the generalized cubic double dispersion equation
• On the asymptotic behavior of solution for the generalized IBq equation with hydrodynamical damped term
• Global existence and nonexistence of solution for Cauchy problem of multidimensional double dispersion equations
• Global existence of solution for Cauchy problem of multidimensional generalized double dispersion equations
• Existence and blow-up of solution of Cauchy problem for the generalized damped multidimensional Boussinesq equation
• Global attractor for a nonlinear wave equation arising in elastic waveguide model
• Periodic boundary value problem and Cauchy problem of the generalized cubic double dispersion equation
• Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations
• \(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
• Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations
• Asymptotic profiles for wave equations with strong damping
• Global attractor for the generalized double dispersion equation
• Global classical solutions for partially dissipative hyperbolic system of balance laws
• Asymptotic behavior of solutions to the generalized cubic double dispersion equation in one space dimension
• The Boltzmann equation, Besov spaces, and optimal time decay rates in \(\mathbb{R}_x^n\)
• Cauchy problem of the generalized double dispersion equation
• On the asymptotic behaviour of solution for the generalized double dispersion equation
• Global existence and asymptotic behavior of solutions to a nonlinear wave equation of fourth-order
• Fourier Analysis and Nonlinear Partial Differential Equations
• DECAY ESTIMATES OF SOLUTIONS TO A SEMI-LINEAR DISSIPATIVE PLATE EQUATION
• GLOBAL EXISTENCE AND DECAY OF SOLUTIONS FOR A QUASI-LINEAR DISSIPATIVE PLATE EQUATION
• DECAY PROPERTY OF REGULARITY-LOSS TYPE FOR DISSIPATIVE TIMOSHENKO SYSTEM
• On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics
• Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation

This page was built for publication: Global existence and optimal time-decay estimates of solutions to the generalized double dispersion equation on the framework of Besov spaces