Uniqueness, reconstruction and stability for an inverse problem of a semi-linear wave equation
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Publication:2172473
DOI10.1016/j.jde.2022.08.010zbMath1497.35521arXiv2006.13193OpenAlexW4293109787MaRDI QIDQ2172473
Tony Liimatainen, Leyter Potenciano-Machado, Teemu Tyni, Matti Lassas
Publication date: 15 September 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.13193
Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Second-order semilinear hyperbolic equations (35L71)
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Inverse problems for semilinear elliptic PDE with measurements at a single point ⋮ An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds ⋮ An inverse problem for a semi-linear wave equation: a numerical study ⋮ Stability estimates for the recovery of the nonlinearity from scattering data ⋮ Weakly Nonlinear Geometric Optics for the Westervelt Equation and Recovery of the Nonlinearity ⋮ Determining a nonlinear hyperbolic system with unknown sources and nonlinearity ⋮ Unnamed Item ⋮ An inverse problem for the relativistic Boltzmann equation ⋮ Lipschitz and Hölder stable determination of nonlinear terms for elliptic equations ⋮ The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds
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