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Geometric relative Hardy inequalities and the discrete spectrum of Schrödinger operators on manifolds

✍ Scribed by Akutagawa, Kazuo; Kumura, Hironori


Book ID
120803163
Publisher
Springer
Year
2012
Tongue
English
Weight
309 KB
Volume
48
Category
Article
ISSN
0944-2669

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Spectrum of the Schrödinger Operator on
✍ S. Nayatani; H. Urakawa 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 595 KB

The spectrum and essential spectrum of the Schrödinger operator \(A+V\) on a complete manifold are studied. As applications, we determine the index of the catenoid of any dimension and the essential spectrum for several minimal submanifolds in the Euclidean space of the Jacobi operator arising from