• Corpus ID: 204960863

Increasing stability in a partial data inverse boundary value problem for biharmonic operators

  title={Increasing stability in a partial data inverse boundary value problem for biharmonic operators},
  author={BOYA LIU},
  journal={arXiv: Analysis of PDEs},
  • Published 29 October 2019
  • Mathematics
  • arXiv: Analysis of PDEs
We study the inverse boundary value problems of determining a potential in the Helmholtz type equation for the perturbed biharmonic operator from the knowledge of the partial Cauchy data set. Our geometric setting is that of a domain whose inaccessible portion of the boundary is contained in a hyperplane, and we are given the Cauchy data set on the complement. The uniqueness and logarithmic stability for this problem were established in [34] and [7], respectively. We show, under mild regularity… 

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