非线性奇异扩散方程的第二初边值问题

The Second Initial and Boundary Value Problem of a Nonlinear Singular Diffusion Equation

中文关键词:  非线性  奇异扩散  第二初边值

英文关键词:nonlinear  singular diffusion  second initial and boundary value.

中文摘要:

      讨论了非线性奇异扩散方程的第二初边值问题，证明了存在唯一的光滑解，且解关于初值是连续依赖的．同时还简洁地得到解的渐近性质：ｔ^ｌ｜ｕ－ｕ_０｜→０，０＜ｌ＜１/２．

英文摘要:

      In this paper, the second initial and boundary value problem of a nonlinear singular diffusion equation is discussed. We show that there exists only one smooth solution which depends on the initial data continuously and t^ｌ|u-u₀|→0 as t→∞.