The L1 stability of strong solutions to a generalized BBM equation

被引：0

作者：

Lai, Shaoyong ^{[1
]}

Wang, Aiyin ^{[1
]}

机构：

[1] Southwestern Univ Finance & Econ, Dept Math, Chengdu 610074, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

generalized BBM equation; strong solutions; L-1; stability; COMPACT;

D O I：

10.1186/1029-242X-2014-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear generalized Benjamin-Bona-Mahony equation is investigated. Using the estimates of strong solutions derived from the equation itself, we establish the L-1(R) stability of the solutions under the assumption that the initial value u(0)(x) lies in the space H-1(R).

引用

页数：9

共 50 条

[1] The L1 stability of strong solutions to a generalized BBM equation
Shaoyong Lai
Aiyin Wang
[J]. Journal of Inequalities and Applications, 2014
[2] On the L1 Stability to a Generalized Degasperis-Procesi Equation
Yan, Haibo
Yong, Ls
Hu, Hanlei
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[3] Elliptic solutions to a generalized BBM equation
Nickel, J.
[J]. PHYSICS LETTERS A, 2007, 364 (3-4) : 221 - 226
[4] L1 criteria for stability of periodic solutions of a newtonian equation
Lei, JZ
Torres, PJ
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2006, 140 : 359 - 368
[5] SCATTERING OF SOLUTIONS AND STABILITY OF SOLITARY WAVES FOR THE GENERALIZED BBM-ZK EQUATION
Esfahani, Amin
[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2014, 12 (02) : 293 - 315
[6] STABILITY OF PERIODIC WAVES FOR THE GENERALIZED BBM EQUATION
Haragus, Mariana
[J]. REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 2008, 53 (5-6): : 445 - 463
[7] Study on the existence of solutions for a generalized functional integral equation in L1 spaces
Yang, Lijuan
Wang, Jing
Yang, Ganshan
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[8] Study on the existence of solutions for a generalized functional integral equation in L1 spaces
Lijuan Yang
Jing Wang
Ganshan Yang
[J]. Journal of Inequalities and Applications, 2013
[9] The generalized porousmedium equation on graphs: existence and uniqueness of solutions with l1 data
Bianchi, Davide
Setti, Alberto G.
Wojciechowski, Radoslaw K.
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 61 (05)
[10] Exact Solutions for the Generalized BBM Equation with Variable Coefficients
Gomez, Cesar A.
Salas, Alvaro H.
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010

← 1 2 3 4 5 →