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Classical boundary value problems for integrable temperatures in a $C^{1}$ domain

Anna Grimaldi Piro; Francesco Ragnedda — 1991

Annales Polonici Mathematici

Abstract. We study a Neumann problem for the heat equation in a cylindrical domain with $C^{1}$ -base and data in $h_{c}^{1}$ , a subspace of $L$ 1. We derive our results, considering the action of an adjoint operator on $B_{T} M O C$ , a predual of $h_{c}^{1}$ , and using known properties of this last space.

BMO continuity for some heat potentials

Anna Grimaldi-Piro; Francesco Ragnedda; Umberto Neri — 1984

Rendiconti del Seminario Matematico della Università di Padova

Invertibility of some heat potentials in $B M O$ norms

Anna Grimaldi-Piro; Francesco Ragnedda; Umberto Neri — 1986

Rendiconti del Seminario Matematico della Università di Padova

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