Stability of bound states of Hamiltonian PDEs in the degenerate cases

Masaya Maeda

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arXiv · 1107.3629

Stability of bound states of Hamiltonian PDEs in the degenerate cases

Masaya Maeda

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Abstract

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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Masaya Maeda. 2011-07-19. Stability of bound states of Hamiltonian PDEs in the degenerate cases. https://arxiv.org/abs/1107.3629

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