Gap estimates of Schrödinger operator

Roger Chen

doi:10.2140/pjm.1997.178.225

Gap estimates of Schrödinger operator

Roger Chen

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

By a transformation of metric using the first eigenfunction, we obtain lower bounds for all eigenvalues of Schrödinger operator with the Neumann boundary condition. Global estimates for first eigenfunction are needed and this is achieved by the Moser iteration technique.

Original language	English
Pages (from-to)	225-240
Number of pages	16
Journal	Pacific Journal of Mathematics
Volume	178
Issue number	2
DOIs	https://doi.org/10.2140/pjm.1997.178.225
Publication status	Published - 1997 Apr

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.2140/pjm.1997.178.225

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title = "Gap estimates of Schr{\"o}dinger operator",

abstract = "By a transformation of metric using the first eigenfunction, we obtain lower bounds for all eigenvalues of Schr{\"o}dinger operator with the Neumann boundary condition. Global estimates for first eigenfunction are needed and this is achieved by the Moser iteration technique.",

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year = "1997",

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