English

Reconstruction of rough potentials in the plane

Analysis of PDEs 2018-11-26 v1

Abstract

We provide a reconstruction scheme for complex-valued potentials in Hs(R2)H^s (\mathbb{R}^2) for s>0s > 0. The procedure extends the method of Bukhgeim relying on quadratic exponential solutions. We also see how the new reconstruction formulas proposed improve the convergence on a set of examples.

Cite

@article{arxiv.1811.09481,
  title  = {Reconstruction of rough potentials in the plane},
  author = {Jorge Tejero},
  journal= {arXiv preprint arXiv:1811.09481},
  year   = {2018}
}

Comments

16 pages, 6 figures

R2 v1 2026-06-23T05:25:27.558Z