一个四阶抛物方程整体弱解的正则性

摘要

We investigate a fourth order parabolic equation with nonnegative large initial value and Dirichlet-Neumann boundary condition in this paper. By using more delicate entropy estimate for the semi-discretization solutions and employing interpolation skill, we obtain the global weak solution with a better time-space regularity.%本文研究一个四阶抛物方程的非负大初值混合Dirichlet-Neumann边值问题.使用半离散化解的精细熵估计与插值技巧,得到了正则性更好的整体弱解.