Inverse source problem for a system of wave equations on a Lorentzian manifold

DOI10.1080/03605302.2020.1774897zbMath1461.35243OpenAlexW3037339980MaRDI QIDQ4966065

Hiroshi Takase

Publication date: 18 March 2021

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

Full work available at URL: https://doi.org/10.1080/03605302.2020.1774897

zbMATH Keywords

Carleman estimatewave equation with time-dependent coefficients

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Hyperbolic equations on manifolds (58J45)

Related Items (3)

Global Lipschitz stability for inverse problems of wave equations on Lorentzian manifolds ⋮ Inverse problems for first-order hyperbolic equations with time-dependent coefficients ⋮ Observability inequalities for degenerate transport equations

Cites Work

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• Carleman estimate with second large parameter for second order hyperbolic operators in a Riemannian manifold and applications in thermoelasticity cases
• Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
• The Cauchy Problem in General Relativity

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