Unique continuation property of solutions to general second order elliptic systems

DOI10.1515/jiip-2020-0073zbMath1484.35186arXiv1505.04556OpenAlexW2265482243MaRDI QIDQ2075138

Satoshi Sasayama, Naofumi Honda, Gen Nakamura, Ching-Lung Lin

Publication date: 14 February 2022

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.04556

zbMATH Keywords

second-order elliptic systemunique continuation of solutions

Mathematics Subject Classification ID

Continuation and prolongation of solutions to PDEs (35B60) Second-order elliptic systems (35J47)

Cites Work

• Unique continuation for the elastic transversely isotropic dynamical systems and its application
• Uniqueness and non-uniqueness in the Cauchy problem
• The unique continuation property of an elliptic system. The Lamé system
• Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface
• Unique continuation for systems with Lamé principal part
• Uniqueness in the Cauchy Problem for Partial Differential Equations
• Convexification for a Three-Dimensional Inverse Scattering Problem with the Moving Point Source
• Unique continuation for the two-dimensional anisotropic elasticity system and its applications to inverse problems
• Oscillatory Integrals and Unique Continuation for Second Order Elliptic Differential Equations
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