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Article Contents

# Remarks on the orbital instability of standing waves for the wave-Schrödinger system in higher dimensions

• In this paper, we study the orbital instability of standing wave for the wave-Schrödinger system in 4 or 5 space dimensions. More precisely, we show that there exists a solution which is not uniformly bounded no matter how the initial data is close to the standing wave.
Mathematics Subject Classification: Primary: 35Q55, 35B35; Secondary: 35J20.

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