Optimal identification of cavities in the generalized plane stress problem in linear elasticity

DOI10.4171/JEMS/1190MaRDI QIDQ2693153

Sergio Vessella, Antonino Morassi, Edi Rosset

Publication date: 17 March 2023

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04805

zbMATH Keywords

inverse problemscavitystability estimatesgeneralized plane stress problem

Mathematics Subject Classification ID

Plates (74K20) Inverse problems for PDEs (35R30) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal three spheres inequality at the boundary for the Kirchhoff-Love plate's equation with Dirichlet conditions
• Inverse boundary value problem for the Stokes and the Navier-Stokes equations in the plane
• The equations of motion of a plate with residual stress
• On the boundary-value problems of the theory of elasticity and Korn's inequality
• Exponential instability in an inverse problem for the Schrödinger equation
• The linear constraints in Poincaré and Korn type inequalities
• Examples of instability in inverse boundary-value problems
• C1,? domains and unique continuation at the boundary
• Examples of exponential instability for inverse inclusion and scattering problems
• Optimal Stability in the Identification of a Rigid Inclusion in an Isotropic Kirchhoff--Love Plate
• Stable determination of cavities in elastic bodies
• Doubling Inequality at the Boundary for the Kirchhoff -- Love Plate's Equation with Dirichlet Conditions
• Size estimates for inclusions in an elastic plate by boundary measurements