An Inverse Boundary Value Problem for a Semilinear Wave Equation on Lorentzian Manifolds

DOI10.1093/IMRN/RNAB088zbMath1496.35450arXiv2005.10447OpenAlexW3163082355MaRDI QIDQ5102297

Jian Zhai, Gunther Uhlmann, Peter Hintz

Publication date: 6 September 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10447

zbMATH Keywords

Neumann-to-Dirichlet maptime-dependent Lorentzian manifoldtime-like boundary

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Second-order semilinear hyperbolic equations (35L71) PDEs on manifolds (35R01)

Related Items (10)

Nonlinear Ultrasound Imaging Modeled by a Westervelt Equation ⋮ Uniqueness, reconstruction and stability for an inverse problem of a semi-linear wave equation ⋮ An Inverse Boundary Value Problem Arising in Nonlinear Acoustics ⋮ 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 ⋮ An inverse problem for the wave equation with nonlinear dumping ⋮ One-dimensional inverse problem for nonlinear equations of electrodynamics ⋮ Weakly Nonlinear Geometric Optics for the Westervelt Equation and Recovery of the Nonlinearity ⋮ Unnamed Item ⋮ The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds

This page was built for publication: An Inverse Boundary Value Problem for a Semilinear Wave Equation on Lorentzian Manifolds