UNIQUENESS ALONG A LINE FOR AN INVERSE WAVE SOURCE PROBLEM

DOI10.1081/PDE-120016136zbMath1034.35150MaRDI QIDQ4796720

Jin Cheng, Guanghong Ding, Masahiro Yamamoto

Publication date: 2002

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

zbMATH Keywords

initial-boundary value problemuniquenesswave equation with source term

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (10)

Unique continuation on a line for the Helmholtz equation ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Continuation of solutions to elliptic and parabolic equations on hyperplanes and application to inverse source problems ⋮ Unique continuation on a sphere for Helmholtz equation and its numerical treatments ⋮ Numerical schemes to reconstruct three-dimensional time-dependent point sources of acoustic waves ⋮ Quantitative estimates of strong unique continuation for wave equations ⋮ Detecting a Prey in a Spider Orb-Web from In-Plane Vibration ⋮ Detecting a Prey in a Spider Orb Web ⋮ A remark on unique continuation along and across lower‐dimensional planes for the wave equation ⋮ Stability Estimates for an Inverse Hyperbolic Initial Boundary Value Problem with Unknown Boundaries

Cites Work

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• Unique continuation on a hyperplane for wave equation
• Théorème d'unicité adapté au contrôle des solutions des problèmes hyperboliques
• Unique continuation on a line for harmonic functions
• Stability in line unique continuation of harmonic functions: general dimensions
• Stable determination of a crack from boundary measurements
• Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method

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