非柱形区域上的非经典扩散方程
发布时间：2018-11-03 06:50
【摘要】：本文主要讨论以下非经典扩散方程在非柱形区域上解的适定性和长时间行为其中Qτ为R4中的非柱型区域,非线性项f满足任意次多项式增长条件,外力项g∈Lloc(R; H-1(Ot)).我们首先选择合适的函数空间,给出非柱形区域上方程弱解的定义;然后,我们借助同胚坐标变换建立一系列的先验估计,从而证明方程在非柱形区域上弱解的适定性;最后利用压缩函数方法给出拉回Dλ1-吸引子的存在性.
[Abstract]:In this paper, we mainly discuss the following nonclassical diffusion equations in the noncylindrical domain, where Q 蟿 is a noncylindrical region in R4, the nonlinear term f satisfies the growth condition of polynomial of any degree, and the external force term g 鈭，
本文编号：2307016
[Abstract]:In this paper, we mainly discuss the following nonclassical diffusion equations in the noncylindrical domain, where Q 蟿 is a noncylindrical region in R4, the nonlinear term f satisfies the growth condition of polynomial of any degree, and the external force term g 鈭，
本文编号：2307016
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