Carleman Estimate for a General Second-Order Hyperbolic Equation

DOI10.1007/978-981-15-1592-7_7zbMath1443.35189OpenAlexW3005177744MaRDI QIDQ3299968

Xinchi Huang

Publication date: 27 July 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-1592-7_7

zbMATH Keywords

hyperbolic equationCarleman estimatetime-dependent principal parts

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45)

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Cites Work

• Unnamed Item
• Weak Carleman estimates with two large parameters for second order operators and applications to elasticity with residual stress
• A timelike Cauchy problem and an inverse problem for general hyperbolic equations
• Inverse/observability estimates for second-order hyperbolic equations with variable coefficients
• Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot
• Carleman estimates for coefficient inverse problems and numerical applications.
• GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
• Carleman estimates for parabolic equations and applications
• Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
• Inverse problems for partial differential equations

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