A uniqueness theorem for the displacement problem in finite elastodynamics

DOI10.1007/BF00280604zbMath0363.73043MaRDI QIDQ1240602

Lewis T. Wheeler

Publication date: 1977

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (5)

On the wave propagation property in finite elasticity ⋮ Nonuniqueness for a hyperbolic system: cavitation in nonlinear elastodynamics ⋮ Necessary and sufficient criteria for ellipticity of the equilibrium equations of a nonlinearly elastic medium ⋮ On local uniqueness in nonlinear elastodynamics ⋮ On uniqueness for the displacement problem in the dynamical theory of elasticity

Cites Work

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• Uniqueness theorems for finite elastodynamics
• Linear elliptic differential systems and eigenvalue problems
• Further study of spatial decay estimates for semilinear parabolic equations
• A uniqueness theorem for the displacement boundary-value problem of linear elastodynamics

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