Diagana, Toka Schrödinger operators with a singular potential. (English) Zbl 0997.35010 Int. J. Math. Math. Sci. 29, No. 6, 371-373 (2002). Summary: This note is devoted to the study of some Schrödinger operators with a singular real potential \(Q\). The potential \(Q\) is chosen so that the algebraic sum \(L = - \Delta + Q\) is not defined. Next, we define the sum form operator which will be well defined and we show that this operator verifies the well-known Kato’s square root problem. Cited in 1 Document MSC: 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 47B44 Linear accretive operators, dissipative operators, etc. 47B25 Linear symmetric and selfadjoint operators (unbounded) Keywords:Kato’s square root problem PDFBibTeX XMLCite \textit{T. Diagana}, Int. J. Math. Math. Sci. 29, No. 6, 371--373 (2002; Zbl 0997.35010) Full Text: DOI EuDML Link