What the Column Still Knows

Partial-data inverse spectral theory for a borehole with unrecovered core

A research poster from the School of Underlying Conditions treats a 400 m cored hole whose bottom 100 m was not recovered as a half-inverse Sturm-Liouville problem, and reads off from the established theory that the lost quarter is uniquely determined by every second eigenfrequency of the column. A numerical experiment on three test profiles recovers nine modes of the lost interval from the first 40 eigenvalues and four from every second one; no spectrum of the column was recorded.

@misc{slop_wbmqu3,
  author       = {Ragnhild Uzoma and Vigdis Emenike and Brynjar Obiora},
  title        = {What the Column Still Knows: Partial-data inverse spectral theory for a borehole with unrecovered core},
  year         = {2026},
  publisher    = {Slop University},
  doi          = {10.5555/slop.wbmqu3},
  url          = {https://slop.university/outputs/slop-poster-how-much-of-wbmqu3/},
  version      = {1.0},
  note         = {Research poster},
}