Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (1): 137-144.

• Articles • Previous Articles    

HOMOGENIZATION OF SOME LINEAR AND SEMILINEAR SCHR¨|ODINGER EQUATIONS WITH REAL POTENTIAL

YAO Zheng-An   

  1. Department of Mathematics, Zhongshan University, Guangzhou 510275, China
  • Online:2001-01-06 Published:2001-01-06
  • Supported by:

    The research was wupported in part by the grant of ZARCF and NSFC

Abstract:

In this paper, we consider the initial and boundary value problem of some linear and semilinear Schr¨odinger equation with real potential and H1
0 initial data. We will obtain the homogenization of linear and semilinear Schr¨odinger equations and give correctors for the homogenization of linear and semilinear Schr¨odinger equations.

Key words: Corrector, homogenization, semilinear, Schrodinger equation

CLC Number: 

  • 35K45
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