Boutet de Monvel, Anne; Kazantseva, Galina; Mantoiu, Marius Some anisotropic Schrödinger operators without singular spectrum. (English) Zbl 0851.35098 Helv. Phys. Acta 69, No. 1, 13-25 (1996). A typical example of an anisotropic potential considered in the paper is given by the formula \[ V(x)= V_1(x_1/ |x_1|) V_2(x_2),\quad x= (x_1, x_2). \] Thus it is a homogeneous function of order zero in the variable \(x_1\). The absence of the singular spectrum and some resolvent estimates are established. Reviewer: D.R.Yafaev (Rennes) Cited in 11 Documents MSC: 35P05 General topics in linear spectral theory for PDEs 47A10 Spectrum, resolvent 35J10 Schrödinger operator, Schrödinger equation Keywords:singular spectrum; resolvent estimates PDFBibTeX XMLCite \textit{A. Boutet de Monvel} et al., Helv. Phys. Acta 69, No. 1, 13--25 (1996; Zbl 0851.35098)