论文标题
对于快速扩散方程的Dirichlet问题解决方案的规律性
Regularity of solutions to the Dirichlet problem for fast diffusion equations
论文作者
论文摘要
我们证明了具有均匀的dirichlet边界条件的快速扩散方程的有界的正弱解决方案的全球Hölder梯度估计值，这使我们建立了其最佳的全球规则性。这解决了贝里曼和荷兰在1980年提出的问题。
We prove global Hölder gradient estimates for bounded positive weak solutions of fast diffusion equations in smooth bounded domains with the homogeneous Dirichlet boundary condition, which then lead us to establish their optimal global regularity. This solves a problem raised by Berryman and Holland in 1980.
