Recovering a potential in damped wave equation from Dirichlet-to-Neumann operator

DOI10.1088/1361-6420/ABDB41zbMath1459.35402OpenAlexW3120967468MaRDI QIDQ5854064

Alemdar Hasanov, Vladimir G. Romanov

Publication date: 15 March 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/abdb41

zbMATH Keywords

Dirichlet-to-Neumann operatorFréchet gradientuniqueness of the inverse problem solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Inverse problems in optimal control (49N45) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Lectures on convex optimization
• Introduction to Inverse Problems for Differential Equations
• Recovering a potential in damped wave equation from Neumann-to-Dirichlet operator
• Reconstruction of the principal coefficient in the damped wave equation from Dirichlet-to-Neumann operator
• Unnamed Item

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