| Abstract: |
| In this talk we will consider inverse coefficient problems for two evolution models with relaxation structure: a Kelvin--Voigt viscoelastic system and the Moore--Gibson--Thompson equation arising in nonlinear acoustics. In both cases, we will establish Lipschitz stability estimates for the recovery of a space-dependent damping coefficient from a single measurement.
This research extends Carleman-based inverse theory to third-order-in-time acoustic models and provides a unified framework for inverse problems in relaxation-type evolution equations.
This is a joint research project in collaboration with Rodrigo Lecaros (Federico Santa Mar\`{i}a Technical University, Chile) and Sebasti\`{a}n Zamorano (University of Deusto, Spain). |
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