On solutions of parabolic equations in regions with edges
Ali AZZAM, Erwin Kreyszig · Bulletin of the Australian Mathematical Society · 1980
In this paper, smoothness properties of solutions of the initial-Dirichlet problem for parabolic equations in regions with edges are considered. We obtain bounds for solutions and derivatives, and prove the Hölder continuity of the first derivatives and of the second derivatives multiplied by a suitable power of the distance from the edges.