Uniqueness and continuous dependence in the linear elastodynamic exterior and half-space problems

DOI10.1017/S0305004100064276zbMath0608.73008OpenAlexW1966476453MaRDI QIDQ3747806

Robin J. Knops, Salvatore Rionero, Giovanni Paolo Galdi

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100064276

zbMATH Keywords

linear elastodynamicsweighted energyunbounded regionsContinuous dependence on initial dataestimate for displacement fieldLagrange-type identity

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (8)

Existence of weak solutions to linear indefinite systems of differential equations ⋮ Full weak uniqueness in anisotropic time-dependent Mindlin theory for plates ⋮ On the impossibility of localization in linear thermoelasticity ⋮ New reciprocal and continuous dependence theorems in linear theory of viscoelasticity ⋮ Sharp uniqueness classes in linear elastodynamics ⋮ Stability and related results in linear elastodynamics on unbounded regions ⋮ The Lagrange identity method in linear thermoelasticity ⋮ Uniqueness in exterior domains for the generalized heat conduction

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