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arXiv:1107.3629 [math.AP]AbstractReferencesReviewsResources

Stability of bound states of Hamiltonian PDEs in the degenerate cases

Masaya Maeda

Published 2011-07-19Version 1

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.

Comments: 16 pages
Categories: math.AP
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