Classical boundary value problems for integrable temperatures in a $C^1$ domain
Tom 54 / 1991
Annales Polonici Mathematici 54 (1991), 29-44
DOI: 10.4064/ap-54-1-29-44
Streszczenie
Abstract. We study a Neumann problem for the heat equation in a cylindrical domain with $C^1$-base and data in $h^1_c$, a subspace of $L^$1. We derive our results, considering the action of an adjoint operator on $B_TMOC$, a predual of $h^1_c$, and using known properties of this last space.