Stable standing waves for the two-dimensional Klein–Gordon–Schrödinger system
2010 ◽
Vol 140
(5)
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pp. 1011-1039
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AbstractWe study the orbital stability of standing waves for the Klein–Gordon–Schrödinger system in two spatial dimensions. It is proved that the standing wave is stable if the frequency is sufficiently small. To prove this, we obtain the uniqueness of ground state and investigate the spectrum of the appropriate linearized operator by using the perturbation method developed by Genoud and Stuart and Lin and Wei. Then we apply to our system the general theory of Grillakis, Shatah and Strauss.
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2011 ◽
Vol 28
(2)
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pp. 315-323
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2010 ◽
Vol 365
(1)
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pp. 109-114
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2012 ◽
Vol 64
(2)
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pp. 265-282
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2011 ◽
Vol 31
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pp. 221-238
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2008 ◽
Vol 37
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pp. 735-748
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2017 ◽
Vol 456
(2)
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pp. 1329-1346
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2010 ◽
Vol 9
(2)
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pp. 413-430
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2020 ◽
Vol 484
(2)
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pp. 123723
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