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On an inverse problem for the plate equation with passive measurement

Analysis of PDEs 2023-01-20 v1

Abstract

This paper focuses on an inverse problem associated with the plate equation which is derived from models in fluid mechanics and elasticity. We establish the unique identifying results in simultaneously determining both the unknown density and internal sources from passive boundary measurement. The proof mainly relies on the asymptotic analysis and harmonic analysis on integral transforms

Keywords

Cite

@article{arxiv.2301.07852,
  title  = {On an inverse problem for the plate equation with passive measurement},
  author = {Yixian Gao and Hongyu Liu and Yang Liu},
  journal= {arXiv preprint arXiv:2301.07852},
  year   = {2023}
}

Comments

19pp