Self-adjointness of Schrödinger operators with singular potentials

Authors

  • Ya. V. Mykytyuk Institute for Applied Problems of Mechanics and Mathematics, 3b~Naukova, Lviv, 79601, Ukraine
  • R. O. Hryniv Lviv National University, 1 Universytets'ka, Lviv, 79602, Ukraine 

DOI:

Keywords:

Abstract

We study one-dimensional Schrödinger operators $S$ with real-valued distributional potentials $q$ in $W^{-1}_{2,\mathrm{loc}}(\mathbb R)$ and prove an extension of the Povzner-Wienholtz theorem on self-adjointness of bounded below $S$ thus providing additional information on its domain. The results are further specified for $q\in W^{-1}_{2,\mathrm{unif}}(\mathbb R)$.

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Published

2012-06-25

Issue

Vol. 18 No. 2 (2012)

Section

Articles

How to Cite

Mykytyuk, Ya. V., and R. O. Hryniv. “Self-Adjointness of Schrödinger Operators With Singular Potentials”. Methods of Functional Analysis and Topology, vol. 18, no. 2, June 2012, pp. 152-9, https://zen.imath.kiev.ua/index.php/mfat/article/view/511.