English

Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials

Analysis of PDEs 2017-10-04 v1

Abstract

We consider inverse boundary value problems for the Schrodinger equations in two dimensions. Within less regular classes of potentials, we establish a conditional stability estimate of logarithmic order. Moreover we prove the uniqueness within LpL^p-class of potentials with p>2p > 2.

Keywords

Cite

@article{arxiv.1504.02207,
  title  = {Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials},
  author = {E. Blåsten and O. Yu. Imanuvilov and M. Yamamoto},
  journal= {arXiv preprint arXiv:1504.02207},
  year   = {2017}
}
R2 v1 2026-06-22T09:13:17.082Z