Iterative method for solving an inverse problem for a hyperbolic equation with a small parameter multiplying the highest derivative

DOI10.1134/S0012266119070073zbMath1428.35192OpenAlexW2967430336WikidataQ115250540 ScholiaQ115250540MaRDI QIDQ2010391

A. M. Denisov

Publication date: 27 November 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119070073

zbMATH Keywords

unknown coefficient function

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Inverse problems for PDEs (35R30) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (1)

Numerical solution methods for a nonlinear operator equation arising in an inverse coefficient problem

Cites Work

• Numerical determination of the initial condition in Cauchy problems for a hyperbolic equation with a small parameter
• Numerical solution of inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative
• Identification problems of wave phenomena. Theory and numerics
• An inverse problem of recovery of the properties of membrane in the acoustic medium
• Definitions and examples of inverse and ill-posed problems
• Dynamical variant of the BC-method: theory and numerical testing
• Asymptotic expansions of solutions to inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative
• Inverse problems for partial differential equations
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