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A uniqueness theorem in linear viscoelasticity. (Italian. English summary) Zbl 0667.73027
We prove that the dynamic problem of linear viscoelasticity has a unique weak solution. We assume neither that the quasi-static approximation holds, nor that the past history of the displacement is known. We require the instantaneous elastic response to be greater than a value depending on the memory of the material and the asymptotic behaviour in the past of the admissible solutions.

74Hxx Dynamical problems in solid mechanics
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics