Global uniqueness and stability for a class of multidimensional inverse hyperbolic problems with two unknowns.

DOI10.1007/s00245-003-0775-5zbMath1059.35180OpenAlexW2009232977MaRDI QIDQ1430533

Zhang, X., Masahiro Yamamoto

Publication date: 27 May 2004

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-003-0775-5

zbMATH Keywords

observabilitystability estimateglobal uniquenessinverse hyperbolic problemunknown source and initial value

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Observability (93B07) Inverse problems for waves in solid mechanics (74J25) Initial value problems for second-order hyperbolic equations (35L15) Inverse problems in optimal control (49N45)

Related Items (8)

Inverse problem on a tree-shaped network: unified approach for uniqueness ⋮ Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation ⋮ Controllability of Evolution Equations with Memory ⋮ Controllability and observability of a heat equation with hyperbolic memory kernel ⋮ An inverse source problem for the stochastic wave equation ⋮ Global Carleman Estimates for Waves and Applications ⋮ Global Uniqueness for an Inverse Stochastic Hyperbolic Problem with Three Unknowns ⋮ An inverse problem for the Schrödinger equation with variable coefficients and lower order terms

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