The authors prove uniqueness theorems for recovering two to four coupled parameters of evolutionary PDEs from a single passive boundary observation under structural dimension-reduction assumptions.
Uniqueness and stability in determining the wave equation from a single passive boundary measurement
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Derives explicit Lipschitz stability estimates for simultaneous recovery of density coefficient and initial displacement in a damped biharmonic wave equation from boundary measurements of Δu and its normal derivative.
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Determining evolutionary equations from a single passive boundary observation
The authors prove uniqueness theorems for recovering two to four coupled parameters of evolutionary PDEs from a single passive boundary observation under structural dimension-reduction assumptions.
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Lipschitz Stability for an Inverse Problem of Biharmonic Wave Equations with Damping
Derives explicit Lipschitz stability estimates for simultaneous recovery of density coefficient and initial displacement in a damped biharmonic wave equation from boundary measurements of Δu and its normal derivative.