数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (3): 569-582.doi: 10.1016/S0252-9602(09)60054-0

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TRICOMI PROBLEM FOR A MIXED EQUATION OF SECOND ORDER WITH DISCONTINUOUS COEFFICIENTS

陈恕行   

  1. School of Mathematical Sciences, Fudan University,  Shanghai 200433, China
  • 收稿日期:2008-10-22 出版日期:2009-05-20 发布日期:2009-05-20
  • 基金资助:

    The research is partially supported by National Natural Science Foundation of China (10531020), the National Basic Research Program of China (2006CB805902), the Project STCSM (06JC14005) and the Doctorial
    Foundation of National Educational Ministry (20050246001)

TRICOMI PROBLEM FOR A MIXED EQUATION OF SECOND ORDER WITH DISCONTINUOUS COEFFICIENTS

Chen Shuxing   

  1. School of Mathematical Sciences, Fudan University,  Shanghai 200433, China
  • Received:2008-10-22 Online:2009-05-20 Published:2009-05-20
  • Supported by:

    The research is partially supported by National Natural Science Foundation of China (10531020), the National Basic Research Program of China (2006CB805902), the Project STCSM (06JC14005) and the Doctorial
    Foundation of National Educational Ministry (20050246001)

摘要:

This paper is devoted to the Tricomi problem for a mixed type equation of second order. The coefficients are assumed  to be discontinuous on the line where the type is changed.  The unique existence of the  solution to the problem is proved if the domain is small enough. Correspondingly, some estimates on the solution is also
established.

关键词: mixed type equation, Tricomi problem, Riemann function

Abstract:

This paper is devoted to the Tricomi problem for a mixed type equation of second order. The coefficients are assumed  to be discontinuous on the line where the type is changed.  The unique existence of the  solution to the problem is proved if the domain is small enough. Correspondingly, some estimates on the solution is also
established.

Key words: mixed type equation, Tricomi problem, Riemann function

中图分类号: 

  • 35L65