Stability for an inverse problem for a two speed hyperbolic pde in one space dimension
Rakesh (University of Delaware), Paul Sacks (Iowa State University)
TL;DR
This paper establishes stability results for determining coefficients in a two-speed hyperbolic PDE system in one spatial dimension, advancing inverse problem theory.
Contribution
It provides the first stability proof for coefficient recovery in a two-velocity hyperbolic PDE system in one dimension.
Findings
Proved stability for coefficient determination in the system.
Enhanced understanding of inverse problems for hyperbolic PDEs.
Potential applications in wave propagation and control.
Abstract
We prove stability for a coefficient determination problem for a two velocity 2x2 system of hyperbolic PDEs in one space dimension.
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