高维空间中阻尼Boussinesq方程初值问题的整体解  

On Global Solution of Initial Problem for a Damped Boussinesq Equation in Higher Space Dimensions

作　　者：刘诗焕[1] 朱先阳[1] LIU Shi-huan;ZHU Xian-yang(School of Mathematics and Physics,Jinggangshan University,Ji an Jiangxi 343009,China)

机构地区：[1]井冈山大学数理学院,江西吉安343009

出　　处：《西南师范大学学报（自然科学版）》2018年第9期1-5,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11161024);江西省自然科学基金项目(20144BAB2010011)

摘　　要：运用Fourier变换方法和迭代技巧研究了一类广义阻尼Boussinesq方程的初值问题.在Sobolev空间中得到了这类Boussinesq方程初值问题整体解的存在唯一性.The global solution of initial problem for a generalized damped Boussinesq equation in higher space dimensions is studied.By means of Fourier method and iterative technique,the existence and uniqueness of the global solution are established in a suitable Sobolev space.

关 键 词：BOUSSINESQ方程 初值问题 整体解 

分 类 号：O175.29[理学—数学]