Acta mathematica scientia,Series A ›› 2004, Vol. 24 ›› Issue (2): 238-245.

• Articles • Previous Articles     Next Articles

The Continuity of the Solution for a Class of Degenerate Schrodinger Equations

 JIN Yong-Yang, DAI Xin-Rong   

  • Online:2004-04-27 Published:2004-04-27
  • Supported by:

    国家自然科学基金(19971076)和浙江省教育厅科研项目(20020248)资助

Abstract:

The continuity of the solutions of  a class of degenerate Schrodinger equation is obtained. The form of the equation is: Lu+vu=(f_i)_{x_i}, where L is a degenerate  elliptic operator, v belongs to the analogy of the Kato class,and f_i belongs to some weighted L^p space.

Key words: Degenerate elliptic operator, Very weak solution; Green function

CLC Number: 

  • 35J70
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