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

Zaile He, Xiangqing Zhao


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.


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

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