Conditional Stability for the Hexagonal Anisotropic Elastic Dynamical Systems

DOI10.1080/03605300903111414zbMath1179.35183OpenAlexW2064571632MaRDI QIDQ3653273

Gen Nakamura, Ching-Lung Lin

Publication date: 22 December 2009

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300903111414

zbMATH Keywords

dynamical systemsconditional stabilityCarleman estimateshexagonal anisotropic

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stability of dynamical problems in solid mechanics (74H55) Second-order hyperbolic systems (35L51)

Cites Work

• Unnamed Item
• Three spheres inequalities for a two-dimensional elliptic system and its application
• Uniqueness for an ill-posed problem
• Unique continuation for the elastic transversely isotropic dynamical systems and its application
• Uniqueness and non-uniqueness in the Cauchy problem
• Unique continuation on a hyperplane for wave equation
• The conditional stability in line unique continuation for a wave equation and an inverse wave source problem
• On Transversely Isotropic Elastic Media with Ellipsoidal Slowness Surfaces
• Théorème d'unicité adapté au contrôle des solutions des problèmes hyperboliques
• The dynamical Lame system: regularity of solutions, boundary controllability and boundary data continuation
• Uniqueness in Inverse Problems for Elastic Media with Residual Stress
• One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
• Unique continuation along curves and hypersurfaces for second order anisotropic hyperbolic systems with real analytic coefficients
• Hyperbolic inverse boundary-value problem and time-continuation of the non-stationary Dirichlet-to-Neumann map
• Surface-impedance tensors of transversely isotropic elastic materials
• A smooth linear elliptic differential equation without any solution in a sphere