Internal Observability, Controllability and Stabilization of the Inhomogeneous and Anisotropic Elastic Wave Equation

Internal Observability, Controllability and Stabilization of the Inhomogeneous and Anisotropic Elastic Wave Equation

In this paper, we consider the inhomogeneous and anisotropic elastic wave equation on bounded domain. We prove the internal observability, controllability and stabilization of the elastic wave equation under a suitable condition of inhomogeneous and anisotropic medias. The main methods are multiplie...

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Veröffentlicht in:Applied mathematics & optimization 2021-10, Vol.84 (2), p.1605-1621
Hauptverfasser: Meng, Yusen, Ning, Zhen-Hu, Yang, Fengyan
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Calculus of Variations and Optimal Control
Optimization
Control
Controllability
Elastic anisotropy
Elastic waves
Mathematical and Computational Physics
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Numerical and Computational Physics
Observability (systems)
Optimization
Simulation
Stabilization
Systems science
Systems Theory
Theoretical
Wave equations
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Beschreibung
Zusammenfassung:In this paper, we consider the inhomogeneous and anisotropic elastic wave equation on bounded domain. We prove the internal observability, controllability and stabilization of the elastic wave equation under a suitable condition of inhomogeneous and anisotropic medias. The main methods are multiplier methods and compactness-uniqueness arguments.
ISSN:0095-4616
1432-0606
DOI:10.1007/s00245-020-09688-x