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Continuous data dependence in linear elastodynamics on unbounded domains without definiteness conditions on the elasticities

  • Giovanni P. Galdi (a1) and Salvatore Rionero (a1)

Synopsis

By suitably coupling convexity and weight function methods, we prove uniqueness and continuous dependence theorems in linear elastodynamics in unbounded domains without definiteness conditions on the elasticities. The class of solutions considered allows the “growth” at large spatial distances.

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5Knops, R. J. and Payne, L. E.. Some uniqueness and continuous dependence theorems for non linear elastodynamics in exterior domains. Applicable Analysis (to appear).
6Rionero, S. and Galdi, G. P.. The weight function approach to uniqueness of viscous flows in unbounded domains, Arch. Rational Mech. Anal. 69 (1979) 3652.
7Galdi, G. P. and Rionero, S.. Local estimates and stability of viscous flows on an exterior domain. Arch. Rational Mech. Anal, in press.
8Rionero, S. and Galdi, G. P.. On the uniqueness of viscous fluid motions. Arch. Rational Mech. Anal. 62 (1976), 295301.
9Galdi, G. P. and Rionero, S.. On magnetohydrodynamic motions in unbounded domains: Stability and Uniqueness. Ann. Mat. Pura Appl 115 (1977), 119154.

Continuous data dependence in linear elastodynamics on unbounded domains without definiteness conditions on the elasticities

  • Giovanni P. Galdi (a1) and Salvatore Rionero (a1)

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