Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation-Reference-Cited by-同舟云学术

Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation

Published:2015-03-05 Issue:03 Volume:13 Page:233-254
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

Kawashima Shuichi¹,Wang Yu-Zhu²

Affiliation:

1. Faculty of Mathematics, Kyushu University, Fukuoka 819-0395, Japan

2. School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, P. R. China

Abstract

In this paper, we study the initial value problem for the generalized cubic double dispersion equation in n-dimensional space. Under a small condition on the initial data, we prove the global existence and asymptotic decay of solutions for all space dimensions n ≥ 1. Moreover, when n ≥ 2, we show that the solution can be approximated by the linear solution as time tends to infinity.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021953051450002X

Reference29 articles.

1. Initial boundary value problem of the generalized cubic double dispersion equation

2. Periodic boundary value problem and cauchy problem of the generalized cubic double dispersion equation

3. Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields

4. DECAY PROPERTY OF REGULARITY-LOSS TYPE FOR DISSIPATIVE TIMOSHENKO SYSTEM

5. Asymptotic Behavior of Global Classical Solutions of Quasilinear Hyperbolic Systems

Cited by 22 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dispersive Estimates and Asymptotic Behavior for a Generalized Boussinesq-Type Equation;Bulletin of the Malaysian Mathematical Sciences Society;2023-08-08

2. Asymptotic profiles of solutions to sixth order Boussinesq-type equations with damping;Journal of Mathematical Analysis and Applications;2021-02

3. Asymptotic profiles of solutions to the generalized double dispersion equation with structural damping;Journal of Mathematical Physics;2020-06-01

4. Global existence and optimal time-decay estimates of solutions to the generalized double dispersion equation on the framework of Besov spaces;Journal of Mathematical Analysis and Applications;2020-01

5. Well-posedness and scattering of small amplitude solutions to Boussinesq paradigm equation;Nonlinear Analysis: Real World Applications;2019-08