Holmgren-John Unique Continuation Theorem for Viscoelastic Systems

DOI10.1007/978-3-030-57784-1_10zbMath1487.35361OpenAlexW3132712555MaRDI QIDQ3379569

Maarten V. de Hoop, Gen Nakamura, Ching-Lung Lin

Publication date: 27 September 2021

Published in: Time-dependent Problems in Imaging and Parameter Identification (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-57784-1_10

zbMATH Keywords

inverse problemsuniqueness theoremviscoelastic systems

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Inverse problems for PDEs (35R30) Linear constitutive equations for materials with memory (74D05) Inverse problems for waves in solid mechanics (74J25) PDEs in connection with mechanics of deformable solids (35Q74) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Inverse problems in dynamical solid mechanics (74H75)

Related Items (3)

Tangential Cone Condition for the Full Waveform Forward Operator in the Viscoelastic Regime: The Nonlocal Case ⋮ Global unique continuation from the boundary for a system of viscoelasticity with analytic coefficients and a memory term ⋮ Tangential cone condition and Lipschitz stability for the full waveform forward operator in the acoustic regime

Cites Work

• Unnamed Item
• On uniqueness of obstacles and boundary conditions from restricted dynamical and scattering data
• Partial differential equations. 4th ed
• A note on a theorem of Nirenberg
• An abstract form of the nonlinear Cauchy-Kowalewski theorem
• A Cauchy-Kovalevsky Theorem for Nonlinear and Nonlocal Equations

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