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Optimal Potentials For Schrodinger Operators

Analysis of PDEs 2013-05-03 v1

Abstract

We consider the Schrodinger operator a given domain. Our goal is to study some optimization problems where an optimal (non-negative) potential V has to be determined in some suitable admissible classes and for some suitable optimization criteria, like the energy or the Dirichlet eigenvalues.

Keywords

Cite

@article{arxiv.1305.0406,
  title  = {Optimal Potentials For Schrodinger Operators},
  author = {Giuseppe Buttazzo and Augusto Gerolin and Berardo Ruffini and Bozhidar Velichkov},
  journal= {arXiv preprint arXiv:1305.0406},
  year   = {2013}
}

Comments

23 pages, 2 figures

R2 v1 2026-06-22T00:10:07.062Z