Boundary value problems in Lipschitz cylinders for three-dimensional parabolic systems
R. M. Brown, Zhongwei Shen · Revista Matemática Iberoamericana · 1992
We consider initial-boundary value problems for a parabolic system in a Lipschitz cylinder. When the space dimension is three, we obtain estimates for the solutions when the lateral data taken from the best possible range of L^p -spaces.