论文标题
Neumann边界条件的退化第四阶抛物线方程
Degenerate fourth order parabolic equations with Neumann boundary conditions
论文作者
论文摘要
我们以合适的Neumann边界条件研究了第四阶操作员的发电性能。结果，我们获得了这些操作员管辖的抛物线方程的良好姿势。本文的新颖性是操作员取决于函数$ a：[0,1] \ rightarrow \ r _+$，在间隔中脱落了某个位置。
We study the generation property for a fourth order operator in divergence or in non divergence form with suitable Neumann boundary conditions. As a consequence we obtain the well posedness for the parabolic equations governed by these operators. The novelty of this paper is that the operators depend on a function $a: [0,1] \rightarrow \R_+$ that degenerates somewhere in the interval.
