2维5阶Benjamin-Ⅱ方程的适定性（英文）  

Well-posedness of the Fifth Order Two-dimensional Benjamin-Ⅱ Equation

作　　者：谌稳固[1] 魏素青 李俊峰 CHEN Wengu;WEI Suqing;LI Junfeng(Institute of Applied Physics and Computational Mathematics,Beijing,100088,P.R.China;Graduate School,China Academy of Engineering Physics,Beijingf 100088,P.R.China;Laboratory of Mathematics and Complex Systems,Ministry of Education,School of Mathematical Sciences,Beijing Normal University,Beijing,100875;P.R.China)

机构地区：[1]北京应用物理与计算数学研究所,北京100088 [2]中国工程物理研究院研究生院,北京100088 [3]北京师范大学数学科学学院数学与复杂系统教育部重点实验室,北京100875

出　　处：《数学进展》2019年第1期1-20,共20页Advances in Mathematics（China）

基　　金：supported by NSFC(Nos.11271050,11371183);Li was partially supported by NSFC(No.11171026);the Fundamental Research Funds for the Central Universities(No.2014kJJCA10);Beijing Higher Education Young Elite Teacher Project

摘　　要：本文研究了2维5阶Benjamin-Ⅱ方程初值问题的适定性.证明了其在Sobolev空间H^(s_1,s_2)(R^2)中是局部适定的,其中s_1≥-5/4,s_2≥0.并利用质量守恒定律得到了其在s_1≥0, s_2≥0时的整体适定性.This paper presents the well-posedness of the initial value problem(IVP)for the fifth order two-dimensional Benjamin-II(5th 2D Benjamin-II)equation.It is locally wellposed in Sobolev space JTS1,S2(R2)for si≥-4/5,S2≥0.And by the mass conservation law,it is globally well-posed for si≥0,S2≥0.

关 键 词：BENJAMIN方程 适定性 Stricharz估计 

分 类 号：O175.29[理学—数学]