On Local Wellposedness of the Schrodinger-Boussinesq System

作     者：SHAO Jjie GUO Boling SHAO Jie;GUO Boling

作者机构：Department of MathematicsNanjing University of Science and TechnologyNanjing210094China Institute of Applied Physics and Computational MathematicsBeijing 100088China The Graduate School of China Academy of Engineering PhysicsBeijing 100088China 

出 版 物：《Journal of Partial Differential Equations》 (偏微分方程（英文版）)

年 卷 期：2022年第35卷第4期

页      面：360-381页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Schrodinger-Boussinesq system Cauchy problem local wellposedness low regularity. 

摘      要：In this paper we prove that the Schrodinger-Boussinesq system with solution(u,v,(-∂xx)-^(2/1)vt)is locally wellposed in H^(s)×H^(s)×Hs^(-1),s≥-1/*** local wellposedness is obtained by the transformation from the problem into a nonlinear Schrodinger type equation system and the contraction mapping theorem in a suitably modified Bourgain type space inspired by the work of Kishimoto,*** result improves the known local wellposedness in H^(s)×H^(s)×H^(s-1),s-1/4 given by Farah.