Explicit Inversion Formulas for the Two-Dimensional Wave Equation from Neumann Traces
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Publication:5108488
DOI10.1137/19M1260517zbMath1446.65095arXiv1905.03460MaRDI QIDQ5108488
Florian Dreier, Markus Haltmeier
Publication date: 4 May 2020
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.03460
Inverse problems for PDEs (35R30) Initial value problems for second-order hyperbolic equations (35L15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for integral equations (65R32)
Related Items (6)
Photoacoustic inversion formulas using mixed data on finite time intervals* ⋮ Singular Value Decomposition of the Wave Forward Operator with Radial Variable Coefficients ⋮ Reconstruction of the initial function from the solution of the fractional wave equation measured in two geometric settings ⋮ Recovering the Initial Data of the Wave Equation from Neumann Traces ⋮ Multiscale Factorization of the Wave Equation with Application to Compressed Sensing Photoacoustic Tomography ⋮ On the exactness of the universal backprojection formula for the spherical means Radon transform
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