Reconstructing the Moore-Gibson-Thompson equation

DOI10.1515/msds-2020-0117zbMath1462.35456OpenAlexW3116770843MaRDI QIDQ2023149

Waled Al-Khulaifi, Amin Boumenir

Publication date: 3 May 2021

Published in: Nonautonomous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/msds-2020-0117

zbMATH Keywords

inverse problemmemoryMoore-Gibson-Thompson equationthird order PDE

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Initial-boundary value problems for higher-order hyperbolic equations (35L35) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Cites Work

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• Moore-Gibson-Thompson equation with memory. II: General decay of energy.
• The inverse Laplace transform and analytic pseudo-differential operators
• Global solvability of Moore-Gibson-Thompson equation with memory arising in nonlinear acoustics
• The reconstruction of an equation of visco-elasticity
• An inverse problem for a third order PDE arising in high-intensity ultrasound: Global uniqueness and stability by one boundary measurement
• Inverse Problem for a Linearized Jordan–Moore–Gibson–Thompson Equation
• An abstract semigroup approach to the third‐order Moore–Gibson–Thompson partial differential equation arising in high‐intensity ultrasound: structural decomposition, spectral analysis, exponential stability

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