A note on well-posedness of the displacement problem in linear elastostatics

DOI10.1007/BF00953682zbMath0608.73007OpenAlexW2059274116MaRDI QIDQ1086001

Remigio Russo

Publication date: 1986

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00953682

zbMATH Keywords

elasticity tensorexterior domainsdisplacement problemfinite Dirichlet integralwell-posedstrongly ellipticHilbert space of all vector-valued functionshomogeneous linear elastostatics

Mathematics Subject Classification ID

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)

Cites Work

• On the well-posedness of the equilibrium problem for linear elasticity in unbounded regions
• Uniqueness in linear elastostatics for problems involving unbounded bodies
• Uniqueness theorems for displacement fields with locally finite energy in linear elastostatics
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