Growth order of eigenfunctions of Schrödinger operators with potentials admitting some integral conditions. II. Applications

Autor: Masaharu Arai, Jun Uchiyama
Rok vydání: 1996
Předmět:
Zdroj: Publications of the Research Institute for Mathematical Sciences. 32:617-631
ISSN: 0034-5318
DOI: 10.2977/prims/1195162714
Popis: In this paper we give applications of M. Arai and J. Uchiyama [2, Theorems 1.1 and 1. 2], which treat the sharp estimates of the growth orders of the eigenfunctions of the Schrodinger operators with potentials oscillating violently at infinity. We can generalize the results of G.B. Khosrovshahi, H.A. Levine and L.E. Payne (Trans. Amer. Math. Soc., 253 (1979), 211228) and H. Kalf and V.K. Kumar (Trans. Amer. Math. Soc., 275 (1983), 215-229). Also we generalize the result of S. Agmon (J. Analyse Math., 23 (1970), 1-25).
Databáze: OpenAIRE