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A priori estimates for the displacement and velocity vectors in the dynamical theory of linear viscoelasticity

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Summary

Estimates for the solution of the initial mixed boundary value problem in the theory of linear viscoelasticity are obtained in terms of given data. The estimates imply that the solution of the considered problem is unique.

Zusammenfassung

Schätzungen für die Lösung von ursprünglichen gemischten Grenzwertproblemen in der linearen Viskoelastizität werden innerhalb gegebener Daten gefunden. Die Schätzungen weisen darauf hin, daß die Lösung der besprochenen Probleme einmalig ist.

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Authors and Affiliations

  1. Dept. of Mathematics, Plymouth Polytechnic, Plymouth, Devon, England

    M. Aron

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  1. M. Aron
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Aron, M. A priori estimates for the displacement and velocity vectors in the dynamical theory of linear viscoelasticity. Z. angew. Math. Phys. 35, 424–429 (1984). https://doi.org/10.1007/BF00944889

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  • DOI: https://doi.org/10.1007/BF00944889

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