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- Kwon, Bongsuk
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The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on [0,1]
- Author(s)
- Howard, Peter, Jung, Soyeun, Kwon, Bongsuk
- Issued Date
- 2018-12
- Citation
- JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, v.30, no.4, pp.1703 - 1729
- Abstract
- Working with general linear Hamiltonian systems on [ 0, 1], and with a wide range of self-adjoint boundary conditions, including both separated and coupled, we develop a general framework for relating the Maslov index to spectral counts. Our approach is illustrated with applications to Schrodinger systems on R with periodic coefficients, and to EulerBernoulli systems in the same context.
- Publisher
- SPRINGER
- ISSN
- 1040-7294
- Keyword (Author)
- Maslov index, Linear Hamiltonian systems, Spectral counts
- Keyword
- SCHRODINGER-OPERATORS, STANDING WAVES, SOLITARY WAVES, EQUATION, MORSE, INSTABILITY, SPACE
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