Determining Riemannian manifolds from nonlinear wave observations at a single point

DOI10.1088/1361-6420/ACEEA7zbMath1525.35260arXiv2102.01841OpenAlexW3128032095MaRDI QIDQ6050814

Leo Tzou

Publication date: 12 October 2023

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

Full work available at URL: https://arxiv.org/abs/2102.01841

zbMATH Keywords

Riemannian geometryinverse problemsgeodesicswave front propagationnonlinear wave interactionsource-to-solution map

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Hyperbolic equations on manifolds (58J45) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Recovering singularities of a potential from singularities of scattering data
• Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
• Inverse problems for semilinear wave equations on Lorentzian manifolds
• Nonlinear responses from the interaction of two progressing waves at an interface
• On an inverse boundary value problem for a nonlinear elastic wave equation
• Inverse problem for Einstein-scalar field equations
• Partial regularity for the steady hyperdissipative fractional Navier-Stokes equations
• Nonlinear interaction of waves in elastodynamics and an inverse problem
• The Calderón problem with partial data
• Lagrangian Intersection and the Cauchy Problem
• RECOVERY OF ZEROTH ORDER COEFFICIENTS IN NON-LINEAR WAVE EQUATIONS
• Determination of Space‐Time Structures from Gravitational Perturbations
• Convolutional Neural Networks in Phase Space and Inverse Problems
• Fourier integral operators

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