著者

今野 礼二

出版者

明治大学

雑誌

明治大学科学技術研究所紀要 (ISSN:03864944)

巻号頁・発行日

vol.13, pp."10-1"-"10-8", 1974

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Let M be a Riemannian manifold of the form (r_0, ∞)×S^<n-1>, S^<n-1> being the (n-1)-sphere. We suppose that the metric of M is given by ds^2=dr^2+ρ(r)^2ds'^2 and we consider on M the Schrodinger-type equation -Δu+qu=λu, λ>0. The aim of this paper is to find relations between growth of the solutions at ∞ and the functions ρ and q.