Existence of a solution of the inverse coefficient problem for a quasilinear hyperbolic equation

DOI10.1134/S096554251904002XzbMath1423.35439OpenAlexW2952266804MaRDI QIDQ2332646

A. M. Denisov

Publication date: 4 November 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s096554251904002x

zbMATH Keywords

inverse problemnonlinear operator equationexistence theoremquasilinear hyperbolic equationproblem with data on characteristics

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Equations involving nonlinear operators (general) (47J05) Inverse problems for PDEs (35R30) Second-order quasilinear hyperbolic equations (35L72)

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Cites Work

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• Definitions and examples of inverse and ill-posed problems
• An Inverse Problem for an Unknown Source Term in a Wave Equation
• Local existence and uniqueness for a quasilinear hyperbolic inverse problem
• The inverse problem of determination of a nonlinear source in a hyperbolic equation
• Inverse problems for partial differential equations

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