Acta mathematica scientia,Series B ›› 1993, Vol. 13 ›› Issue (2): 167-179.

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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

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.

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