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L p -Regularity for the Cauchy-Dirichlet Problem for Parabolic Equations in Convex Polyhedral Domains
Vu Trong Luong, Nguyen Thanh Anh, Do Van Loi

 

Abstract

In this paper, we study the regularity of the solution of the initial-boundary value problem with Dirichlet boundary conditions for second-order divergence parabolic equations in a domain of polyhedral type. We establish several results on the regularity of the solution in weighted Lp-Sobolev spaces.