105 citations · 211 across the 13 of their papers we have counts for
4 papers · 1 filter
Recovering the Initial Data of the Wave Equation from Neumann Traces
Florian Dreier, Markus Haltmeier
We study the problem of recovering the initial data (f, 0) of the standard wave equation from the Neumann trace (the normal derivative) of the solution on the boundary of convex do…
Explicit inversion formulas for the two-dimensional wave equation from Neumann traces
Florian Dreier, Markus Haltmeier
In this article we study the problem of recovering the initial data of the two-dimensional wave equation from Neumann measurements on a convex domain with smooth boundary in the pl…
Analysis of the Linearized Problem of Quantitative Photoacoustic Tomography
Markus Haltmeier, Lukas Neumann, Linh V. Nguyen +1
Quantitative image reconstruction in photoacoustic tomography requires the solution of a coupled physics inverse problem involvier light transport and acoustic wave propagation. In…
Inversion of spherical means and the wave equation in even dimensions
D. Finch, M. Haltmeier, Rakesh
We establish inversion formulas of the so called filtered back-projection type to recover a function supported in the ball in even dimensions from its spherical means over spheres…