Abstract

In this paper, we study the well-posedness of the initial value problem for the chrÄodinger-Boussinesq system. By exploiting the Strichartz estimates for the linear SchrÄodinger operator, we establish the local and global well-posedness of initial value problem for the SchrÄodinger-Boussinesq system with the initial data in low regularity spaces.
Key words and phrases: SchrÄodinger-Boussinesq system, initial value problem, well-posedness.
2000 Mathematics Subject Classi¯cation: 35Q55; 35Q35; 76B15.