Levin, B. Ya.; Khejfits, A. I. Asymptotic behavior of subfunctions of the Schrödinger operator in an \(n\)-dimensional cone. (English. Russian original) Zbl 0702.35019 Sov. Math., Dokl. 38, No. 1, 109-112 (1989); translation from Dokl. Akad. Nauk SSSR 301, No. 3, 540-543 (1988). The authors study the asymptotic behaviour of \(L_ c\)-subfunctions in the cone \(K^ D=\{(r,\theta)\in {\mathbb{R}}^ n\); \(\theta\in D\), \(0<r<\infty \}\), where D is an arbitrary domain on the unit sphere. Analogous theorems to the Phragmén-Lindelöf theorem are established. Reviewer: P.Drábek Cited in 2 Documents MSC: 35B40 Asymptotic behavior of solutions to PDEs 35J10 Schrödinger operator, Schrödinger equation Keywords:subfunctions; Phragmén-Lindelöf theorem PDFBibTeX XMLCite \textit{B. Ya. Levin} and \textit{A. I. Khejfits}, Sov. Math., Dokl. 38, No. 1, 109--112 (1989; Zbl 0702.35019); translation from Dokl. Akad. Nauk SSSR 301, No. 3, 540--543 (1988)