Global attractor for the weakly damped forced KdV equation in Sobolev spaces of low regularity

Xingyu Yang

doi:10.1007/s00030-010-0095-9

Global attractor for the weakly damped forced KdV equation in Sobolev spaces of low regularity

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-010-0095-9 ◽

2011 ◽

Vol 18 (3) ◽

pp. 273-285 ◽

Cited By ~ 5

Author(s):

Xingyu Yang

Keyword(s):

Global Attractor ◽

Sobolev Spaces ◽

Kdv Equation ◽

Low Regularity

Existence of the global attractor for weakly damped, forced KdV equation on Sobolev spaces of negative index

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2004.3.301 ◽

2004 ◽

Vol 3 (2) ◽

pp. 301-318 ◽

Cited By ~ 10

Author(s):

Kotaro Tsugawa ◽

Keyword(s):

Global Attractor ◽

Sobolev Spaces ◽

Kdv Equation ◽

Negative Index

The global attractor for a weakly damped forced shallow water equation in Sobolev spaces of low regularity

Nonlinear Analysis ◽

10.1016/j.na.2011.11.010 ◽

2012 ◽

Vol 75 (4) ◽

pp. 2672-2691 ◽

Cited By ~ 1

Author(s):

Xingyu Yang ◽

Yongsheng Li

Keyword(s):

Shallow Water ◽

Global Attractor ◽

Sobolev Spaces ◽

Shallow Water Equation ◽

Low Regularity

The Cauchy problem for Kawahara equation in Sobolev spaces with low regularity

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1273 ◽

2010 ◽

Vol 33 (14) ◽

pp. 1647-1660 ◽

Cited By ~ 12

Author(s):

Wei Yan ◽

Yongsheng Li

Keyword(s):

Cauchy Problem ◽

Sobolev Spaces ◽

Kawahara Equation ◽

Low Regularity ◽

The Cauchy Problem

Global existence and well-posedness of the 2D viscous shallow water system in Sobolev spaces with low regularity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.01.046 ◽

2016 ◽

Vol 438 (1) ◽

pp. 14-28 ◽

Cited By ~ 3

Author(s):

Yanan Liu ◽

Zhaoyang Yin

Keyword(s):

Global Existence ◽

Shallow Water ◽

Sobolev Spaces ◽

Water System ◽

Well Posedness ◽

Low Regularity ◽

Shallow Water System

Low regularity solution for a nonlocal perturbation of KdV equation

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-007-6086-y ◽

2007 ◽

Vol 59 (4) ◽

pp. 634-646 ◽

Cited By ~ 4

Author(s):

Zhaohui Huo ◽

Yueling Jia

Keyword(s):

Kdv Equation ◽

Low Regularity ◽

Low Regularity Solution

On the periodic KdV equation in weighted Sobolev spaces

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2008.03.004 ◽

2009 ◽

Vol 26 (3) ◽

pp. 841-853 ◽

Cited By ~ 6

Author(s):

Thomas Kappeler ◽

Jürgen Pöschel

Keyword(s):

Sobolev Spaces ◽

Kdv Equation ◽

Weighted Sobolev Spaces

The IVP for the Benjamin–Ono–Zakharov–Kuznetsov equation in low regularity Sobolev spaces

Journal of Differential Equations ◽

10.1016/j.jde.2016.04.022 ◽

2016 ◽

Vol 261 (3) ◽

pp. 2041-2067 ◽

Cited By ~ 5

Author(s):

Alysson Cunha ◽

Ademir Pastor

Keyword(s):

Sobolev Spaces ◽

Low Regularity

Convergence of an Embedded Exponential-Type Low-Regularity Integrators for the KdV Equation without Loss of Regularity

Annals of Applied Mathematics ◽

10.4208/aam.oa-2020-0001 ◽

2021 ◽

Vol 37 (1) ◽

pp. 1-21

Author(s):

Yongsheng Li

Keyword(s):

Exponential Type ◽

Kdv Equation ◽

Low Regularity ◽

The Kdv Equation ◽

Loss Of Regularity

Global Attractor of Two-Dimensional Strong Damping KDV Equation and Its Dimension Estimation

Applied Mathematics ◽

10.4236/am.2014.51002 ◽

2014 ◽

Vol 05 (01) ◽

pp. 7-15 ◽

Cited By ~ 1

Author(s):

Cheng Zhang ◽

Guoguang Lin

Keyword(s):

Global Attractor ◽

Kdv Equation ◽

Two Dimensional ◽

Dimension Estimation ◽

Strong Damping

The ADMB-KdV equation in anisotropic Sobolev spaces

Differential Equations & Applications ◽

10.7153/dea-04-27 ◽

2012 ◽

pp. 459-484

Author(s):

Amin Esfahani

Keyword(s):

Sobolev Spaces ◽

Kdv Equation ◽

Anisotropic Sobolev Spaces