Abstract
The existence, uniqueness, differentiability and data dependence of solutions of initial-boundary value problems in classical elastodynamics are treated by applying the theory of first-order symmetric hyperbolic systems. Sharp results on the differentiability of solutions are obtained in terms of body force, initial data and boundary conditions.
Abstract
Liexistence, l'unicité, la differentiabilité et la dépendence aux données de la solution de problemes aux conditions initiales aux limites dans le cas de l'elastodynamique classique est traitéc en utilisant la theorie des systemes symmétrique hyperbolique de premier ordre. Des résultats finis sont obtenus pour la differentiabilité des solutions, ces resultats dependent des forces de volume, des données initiales et des conditions aux limites.
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Hughes, T.J.R., Marsden, J.E. Classical elastodynamics as a linear symmetric hyperbolic system. J Elasticity 8, 97–110 (1978). https://doi.org/10.1007/BF00044512
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DOI: https://doi.org/10.1007/BF00044512