Abstract
We consider a Hamiltonian systems which is invariant under a one-parameter unitary group and give a criterion for the stability and instability of bound states for the degenerate case. We apply our theorem to the single power nonlinear Klein-Gordon equation and the double power nonlinear Schrödinger equation.
| Original language | English |
|---|---|
| Pages (from-to) | 511-528 |
| Number of pages | 18 |
| Journal | Journal of Functional Analysis |
| Volume | 263 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2012 Jul 15 |
Keywords
- Bound states
- Nonlinear Klein-Gordon equation
- Nonlinear Schrödinger equation
- Orbital stability
ASJC Scopus subject areas
- Analysis
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Maeda, M. (2012). Stability of bound states of Hamiltonian PDEs in the degenerate cases. Journal of Functional Analysis, 263(2), 511-528. https://doi.org/10.1016/j.jfa.2012.04.006