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Inverse problems for two by two reaction-diffusion system using a Carleman estimate with one observation

偏微分方程分析 2009-11-11 v3

摘要

For a two by two reaction-diffusion system on a bounded domain we give a simultaneous stability result for one coefficient and for the initial conditions. The key ingredient is a global Carleman-type estimate with a single observation acting on a subdomain.

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引用

@article{arxiv.math/0603484,
  title  = {Inverse problems for two by two reaction-diffusion system using a Carleman estimate with one observation},
  author = {Michel Cristofol and Patricia Gaitan and Hichem Ramoul},
  journal= {arXiv preprint arXiv:math/0603484},
  year   = {2009}
}