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

Published online by Cambridge University Press:  14 November 2011

Giovanni P. Galdi  and
Salvatore Rionero
Giovanni P. Galdi
Affiliation:
Istituto di Matematica “R. Caccioppoli”, via Mezzacannone 8, 80134 Naples, Italy
Salvatore Rionero
Affiliation:
Istituto di Matematica “R. Caccioppoli”, via Mezzacannone 8, 80134 Naples, Italy
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 93 , Issue 3-4 , 1983 , pp. 299 - 306
Copyright
Copyright © Royal Society of Edinburgh 1983

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