数学物理学报(英文版) ›› 1991, Vol. 11 ›› Issue (4): 425-432.

• 论文 • 上一篇    下一篇

CONORMAL SINGULARITIES FOR SOLUTION OF SEMILINEAR PARTIAL DIFFERENTIAL EQUATIONS

葛翔宇   

  1. Division of Basic Science, Wuhan Institute of Technology, Wuhan, China
  • 收稿日期:1990-07-28 修回日期:1991-02-28 出版日期:1991-12-25 发布日期:1991-12-25

CONORMAL SINGULARITIES FOR SOLUTION OF SEMILINEAR PARTIAL DIFFERENTIAL EQUATIONS

Ge Xiangyu   

  1. Division of Basic Science, Wuhan Institute of Technology, Wuhan, China
  • Received:1990-07-28 Revised:1991-02-28 Online:1991-12-25 Published:1991-12-25

摘要: In the studies of nonlinear partial differential equations, the influence, from the singularities of coefficients to the singularities of solution, is a field that has not been dealt with. In this paper, we discuss a simple case of semilinear equations under the frame of the space of conormal distributions. We prove the result that the solution has the same singularities on the hypersurface in which the coefficients have the conormal singularities.

Abstract: In the studies of nonlinear partial differential equations, the influence, from the singularities of coefficients to the singularities of solution, is a field that has not been dealt with. In this paper, we discuss a simple case of semilinear equations under the frame of the space of conormal distributions. We prove the result that the solution has the same singularities on the hypersurface in which the coefficients have the conormal singularities.