Abstract
This paper is concerned with the mass-energy threshold dynamics for the elliptic–elliptic Davey–Stewartson system in dimension three. By proving the compactness of minimizing sequence for the Weinstein functional, we show the long time behavior of solutions with data being at the mass-energy threshold. Our proof is based on a Gagliardo–Nirenberg type inequality, localized virial estimates and the concentration-compactness lemma.
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The data that support the findings of this study are available within the article.
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The project is supported by the National Science Foundation of China (Grant No. 12171343) and Sichuan Science and Technology Program (Nos. 2022ZYD0009 and 2022JDTD0019).
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Huang, J., Wang, Y. & Wang, S. Asymptotic Behavior for the Davey–Stewartson System at the Mass-Energy Threshold. Results Math 79, 25 (2024). https://doi.org/10.1007/s00025-023-02057-4
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DOI: https://doi.org/10.1007/s00025-023-02057-4