Stability of bound states of Hamiltonian PDEs in the degenerate cases

Details Stability of bound states of Hamiltonian PDEs in the degenerate cases Stability of bound states of Hamiltonian PDEs in the degenerate cases

2011-07-19

arxiv.org/abs/1107.3629v1

Mathematics

Analysis of PDEs

16 pages

Scientific paper

We consider a Hamiltonian systems which is invariant under a one-parameter
unitary group. We 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 Schr\"odinger
equation.

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