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math.AP2025
Elastic scattering problems by penetrable obstacles with embedded objects
Chun Liu, Jiaqing Yang, Bo Zhang
This paper considers 3-D elastic scattering problems by penetrable obstacles with embedded objects. The well-posedness of transmission problem is proved by employing integral equat…
math.AP2025
Factorization method for near-field inverse scattering problems in elastodynamics
Chun Liu, Guanghui Hu, Tao Yin +1
Consider a time-harmonic elastic point source incident on a bounded obstacle which is embedded in an open space filled with a homogeneous and isotropic elastic medium. This paper i…
math.AP2024
Increasing stability for inverse acoustic source problems in the time domain
Chun Liu, Suliang Si, Guanghui Hu +1
This paper is concerned with inverse source problems for the acoustic wave equation in the full space R^3, where the source term is compactly supported in both time and spatial var…