| 摘要: |
| 证明退化四阶抛物方程∂u/∂t+△(|△u|p-2△u)+λ|u|p-2u=O,x∈Ω,t>0,p>2在假定具有自然边界条件u=△u=0,△∈∂Ω,t>0,以及初始值条件u(x,0)=u0(x),x∈Ω下,存在弱解惟一性. |
| 关键词: 抛物方程 弱解 惟一性 |
| DOI： |
| 投稿时间：2006-09-25修订日期：2006-11-20 |
| 基金项目: |
|
| The Uniqueness of Weak Solution for a Degenerate Fourth Order Parabolic Equation |
|
GUO Jin-yong
|
| (Department of Mathematics and Computer Science, Liuzhou Teachers College, Liuzhou, Guangxi, 545004, China) |
| Abstract: |
| In this paper, we consider a fourth order degenerate parabolic equation ∂u/∂t + △ (|△u|p-2△u) +λ|u|p-2u=0, x∈Ω, t > 0, p > 2. Under some assumptions on the natural boudary conditions u=△u=0, x ∈ ∂Ω, t > 0, and the initial condition u (x, 0)=u0 (x), x∈Ω, we have proved the existence of uniqueness of weak solution. |
| Key words: parabolic equation weak solution uniqueness |
