Self-adjointness of Schroedinger operators with singular potentials [article]

Rostyslav O. Hryniv, Yaroslav V. Mykytyuk
2012 arXiv   pre-print
We study one-dimensional Schroedinger operators S with real-valued distributional potentials q in W^-1_2,loc(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,unif(R).
arXiv:1111.0809v2 fatcat:5xaonwdzjrai7ph4p7ihak5zmi