Stability of bound states of Hamiltonian PDEs in the degenerate cases

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• 作者：Masaya Maeda ^{m-maeda@math.tohoku.ac.jp}
• 关键词：Nonlinear Klein&ndash ; Gordon equation ; Nonlinear Schrö ; dinger equation ; Bound states ; Orbital stability
• 刊名：Journal of Functional Analysis
• 出版年：2012
• 出版时间：15 July, 2012
• 年：2012
• 卷：263
• 期：2
• 页码：511-528
• 全文大小：168 K

文摘

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 Schr?dinger equation.