In this work we are concerned with the Fichera problem related to the quasi-static equation of viscoelasticity. By the use of the space derived from the minimum free energy, connected with a viscoelastic material, we prove a uniqueness and existence theorem in a new large space of data.
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Giovambattista Amendola, Mauro Fabrizio, Free energies and Fichera’s quasi-static problem for materials with fading memory. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 17 (2006), no. 1, pp. 15–24DOI 10.4171/RLM/451