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

Authors

  • Zaile He
  • Xiangqing Zhao

Keywords:

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

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.

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Published

2010-04-09

Issue

Vol. 3 No. 2: (April 2010)

Section

Partial Differential Equations and Dynamical Systems

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How to Cite

Local Solvability for the 2-coupled System of Nonlinear Schrodinger Equations in a Banach Algebra Eo2,1. (2010). European Journal of Pure and Applied Mathematics, 3(2), 227-234. https://www.ejpam.com/index.php/ejpam/article/view/189