Rm. Brown et Zw. Shen, A NOTE ON BOUNDARY-VALUE-PROBLEMS FOR THE HEAT-EQUATION IN LIPSCHITZ CYLINDERS, Proceedings of the American Mathematical Society, 119(2), 1993, pp. 585-594
We study the initial Dirichlet problem and the initial Neumann problem
for the heat equation in Lipschitz cylinders, with boundary data in m
ixed norm spaces L(q)(0, T, L(p)(partial derivative OMEGA)).