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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.03124 |
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| _version_ | 1866908351527387136 |
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| author | Ardila, Alex H. Cely, Liliana Meng, Fanfei |
| author_facet | Ardila, Alex H. Cely, Liliana Meng, Fanfei |
| contents | In this paper, we study the Cauchy problem for a quadratic nonlinear Schrödinger system in dimension six. In~\cite{GaoMengXuZheng}, the authors classified the behavior of solutions under the energy constraint $E(u) < E(Q)$, where $Q$ denotes the ground state. In this work, we classify the dynamics of radial solutions at the threshold energy $E(u) = E(Q)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03124 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Threshold solutions for the energy-critical NLS system with quadratic interaction Ardila, Alex H. Cely, Liliana Meng, Fanfei Analysis of PDEs In this paper, we study the Cauchy problem for a quadratic nonlinear Schrödinger system in dimension six. In~\cite{GaoMengXuZheng}, the authors classified the behavior of solutions under the energy constraint $E(u) < E(Q)$, where $Q$ denotes the ground state. In this work, we classify the dynamics of radial solutions at the threshold energy $E(u) = E(Q)$. |
| title | Threshold solutions for the energy-critical NLS system with quadratic interaction |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.03124 |