Reconstruction of the principal coefficient in the damped wave equation from Dirichlet-to-Neumann operator

DOI10.1088/1361-6420/ab53f3zbMath1457.35094OpenAlexW2986872738MaRDI QIDQ5213317

Alemdar Hasanov, Vladimir G. Romanov

Publication date: 3 February 2020

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

Full work available at URL: https://doi.org/10.1088/1361-6420/ab53f3

zbMATH Keywords

wave equationTikhonov functionalill-posednesscharacteristicsNeumann-to-Dirichlet operatorFréchet gradient of the Tikhonov functionalprincipal coefficient identification

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Wave equation (35L05)

Related Items (3)

On uniqueness and nonuniqueness for internal potential reconstruction in quantum fields from one measurement. II: The non-radial case ⋮ Recovering a potential in damped wave equation from Neumann-to-Dirichlet operator ⋮ Recovering a potential in damped wave equation from Dirichlet-to-Neumann operator

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