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 E2,10(Rn) which is the extension of Hs(Rn) when  s≥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