Local Solvability for the 2-coupled System of Nonlinear Schrodinger Equations in a Banach Algebra Eo2,1

Zaile He, Xiangqing Zhao

Abstract

This paper is concerned with initial value problem of the nonlinear coupled  Schrodinger equations. We study local well posedness in the Banach algebra $E^0_{2,1}(R^n)$ which is the extension of $H^s(R^n)$ when  $s\ge \frac n2.$ The method we use is similar to the method of semigroup.

Keywords

Nonlinear; Coupled Schrdinger equation; 2-coupled; Banach algebra; Local well-posedness

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