On a class of nonlinear BBM-like equations

被引：0
|
作者：
Hagen, T
Turi, J
机构：
[1] Virginia Polytech Inst & State Univ, Dept Math, Interdisciplinary Ctr Appl Math, Blacksburg, VA 24061 USA
[2] Univ Texas, Program Math Sci, Richardson, TX 75083 USA
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 1998年 / 17卷 / 02期
关键词：
Benjamin-Bona-Mahony equation; fractional powers of linear operators; well-posedness;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive well-posedness results for a Cauchy problem associated to a class of semilinear equations with structured nonlinearities. In particular, these nonlinearities are characteristically composed of the fractional power of a linear operator and a locally Lipschitz continuous map. As an application we treat a boundary-initial value problem for the so called Benjamin-Bona-Mahony (BBM) equation.
引用
收藏
页码：161 / 172
页数：12
相关论文
共 50 条
  • [11] On a class of secant-like methods for solving nonlinear equations
    Argyros, Ioannis K.
    NUMERICAL ALGORITHMS, 2010, 54 (04) : 485 - 501
  • [12] On a class of secant-like methods for solving nonlinear equations
    Ioannis K. Argyros
    Numerical Algorithms, 2010, 54 : 485 - 501
  • [13] Asymptotic Stablity of Global Solutions for Some Nonlinear BBM Equations
    YE, Yaojun
    INTERNATIONAL CONFERENCE ON APPLIED PHYSICS AND INDUSTRIAL ENGINEERING 2012, PT C, 2012, 24 : 2279 - 2285
  • [14] On developing an optimal Jarratt-like class for solving nonlinear equations
    Attary, Maryam
    Agarwal, Praveen
    Italian Journal of Pure and Applied Mathematics, 2020, 43 : 523 - 530
  • [15] On developing an optimal Jarratt-like class for solving nonlinear equations
    Attary, Maryam
    Agarwal, Praveen
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (43): : 523 - 530
  • [16] A CLASS OF NEWTON-LIKE METHODS WITH CUBIC CONVERGENCE FOR NONLINEAR EQUATIONS
    Ye, Qiaojun
    Xu, Xiubin
    FIXED POINT THEORY, 2010, 11 (01): : 161 - 168
  • [17] Reductions and conservation laws for BBM and modified BBM equations
    Khorshidi, Maryam
    Nadjafikhah, Mehdi
    Jafari, Hossein
    Al Qurashi, Maysaa
    OPEN MATHEMATICS, 2016, 14 : 1138 - 1148
  • [18] Cole-Hopf like transformation for a class of coupled nonlinear Schrodinger equations
    Kaniadakis, G
    Miraldi, E
    Scarfone, AM
    REPORTS ON MATHEMATICAL PHYSICS, 2002, 49 (2-3) : 203 - 209
  • [19] Analytical solutions to a class of nonlinear Schrodinger equations with PT-like potentials
    Musslimani, Ziad H.
    Makris, Konstantinos G.
    El-Ganainy, Ramy
    Christodoulides, Demetrios N.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (24)
  • [20] A NEW CLASS OF SECANT-LIKE METHODS FOR SOLVING NONLINEAR SYSTEMS OF EQUATIONS
    Ezquerro, Jose A.
    Grau, Angela
    Grau-Sanchez, Miquel
    Hernandez-Veron, Miguel A.
    COMMUNICATIONS IN APPLIED MATHEMATICS AND COMPUTATIONAL SCIENCE, 2014, 9 (02) : 201 - 213
12345