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

DOI10.1017/S0308210500015985zbMath0511.73034MaRDI QIDQ4750180

Giovanni Paolo Galdi, Salvatore Rionero

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

elastodynamicsbody forceinitial dataelasticitiescontinuous data dependence theoremsgeneric unbounded domainsno definiteness conditionsspatial pointwise normweighted convexity inequality

Mathematics Subject Classification ID

Related Items (9)

Uniqueness and continuous dependence in the linear elastodynamic exterior and half-space problems ⋮ Uniqueness for a high order ill posed problem ⋮ Stability and related results in linear elastodynamics on unbounded regions ⋮ The Lagrange identity method in linear thermoelasticity ⋮ Some uniqueness and continuous dependence theorems for nonlinear elastodynamics in exterior domains ⋮ Continuous dependence and uniqueness theorems in boundary‐initial value problems for a class of porous bodies occupying bounded or unbounded domains ⋮ Asymptotic behaviour in the nonlinear elastic beam ⋮ Uniqueness in exterior domains for the generalized heat conduction ⋮ Hölder continuous dependence and uniqueness results for incremental elastodynamics

Cites Work

• The weight function approach to uniqueness of viscous flows in unbounded domains
• On the uniqueness of viscous fluid motions
• On magnetohydrodynamic motions in unbounded domains: Stability and uniqueness
• Stability in linear elasticity

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