数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (2): 241-248.

• 论文 • 上一篇    下一篇

EXISTENCE OF WEAK SOLUTIONS FOR A DEGENERATE GENERALIZED BURGERS EQUATION WITH LARGE INITIAL DATA

 张辉   

  1. School of Mathematics Sciences, Peking University, Beijing 100871, China
  • 出版日期:2002-04-15 发布日期:2002-04-15

EXISTENCE OF WEAK SOLUTIONS FOR A DEGENERATE GENERALIZED BURGERS EQUATION WITH LARGE INITIAL DATA

 ZHANG Hui   

  1. School of Mathematics Sciences, Peking University, Beijing 100871, China
  • Online:2002-04-15 Published:2002-04-15

摘要:

It is obtained the existence of the weak solution for a degenerate generalized Burgers equation under the restriction u0 2 L1. The main method is to add viscosity perturbation and obtain some estimates in L1 norm. Meanwhile it is obtained the solution is exponential decay when the initial data has compact support.

Abstract:

It is obtained the existence of the weak solution for a degenerate generalized Burgers equation under the restriction u0 2 L1. The main method is to add viscosity perturbation and obtain some estimates in L1 norm. Meanwhile it is obtained the solution is exponential decay when the initial data has compact support.

中图分类号: 

  • 35K55