On the Cauchy Problem for Schro"dingerimproved Boussinesq equations
Preprint Series # 740 Ozawa, Tohru and Tsutaya, Kimitoshi On the Cauchy Problem for Schro"dingerimproved Boussinesq equations. (2005); AbstractThe Cauchy problem for a coupled system of Schr\"odinger and improved Boussinesq equations is studied. Local wellposedness is proved in $L^2(\R^n)$ for $n\le 3$. Global wellposedness is proved in the energy space for $n\le 2$. Under smallness assumption on the Cauchy data, the local result in $L^2$ is proved for $n=4$. Item Type:  Preprint 

Additional Information:  20 

Uncontrolled Keywords:  Schro"dinger equations, improved Boussinesq equation, Cauchy Problem 

Subjects:  35xx PARTIAL DIFFERENTIAL EQUATIONS 

ID Code:  1055 

