×

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

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35J10 Schrödinger operator, Schrödinger equation
PDFBibTeX XMLCite