数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (2): 167-179.

• 论文 • 上一篇    下一篇

LARGE TIME BEHAVIOR OF THE SOLUTIONS OF NONLINEAR DEGENERATE DIFFUSION EQUATIONS

罗涛1, 肖玲2   

  1. 1. Dept. of Math., Guishou Univ, Guiyang, 550025, China;
    2. Inst. of Math., Academia Sinica, 100080 Beijing, China
  • 收稿日期:1991-03-12 出版日期:1993-06-25 发布日期:1993-06-25

LARGE TIME BEHAVIOR OF THE SOLUTIONS OF NONLINEAR DEGENERATE DIFFUSION EQUATIONS

Luo Tao1, Xiao Ling2   

  1. 1. Dept. of Math., Guishou Univ, Guiyang, 550025, China;
    2. Inst. of Math., Academia Sinica, 100080 Beijing, China
  • Received:1991-03-12 Online:1993-06-25 Published:1993-06-25

摘要: A class of nonlinear degenerate diffusion equations is investigated in this paper. It is shown that the solutions converge to the corresponding similar solutions as t→+∞. The rate of the convergence in L1-norm and L-norm are obtained respectively.

Abstract: A class of nonlinear degenerate diffusion equations is investigated in this paper. It is shown that the solutions converge to the corresponding similar solutions as t→+∞. The rate of the convergence in L1-norm and L-norm are obtained respectively.