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

ArticleOriginal scientific text

Title

Authors ¹, ^1,²

Dipartimento di Matematica, Università di Cagliari, Viale Merello 92, 09100 Cagliari, Italia
Cagliari

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_{T} M O C

, a predual of

h^{1}_c

, and using known properties of this last space.

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