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Global existence versus finite time blowup dichotomy for the dispersion managed NLS
- Choi, Mi-Ran;
- Hong, Younghun;
- Lee, Young-Ran
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4초록
We consider the Gabitov–Turitsyn equation or the dispersion managed nonlinear Schrödinger equation of a power-type nonlinearity i∂tu+dav∂x2u+∫01e−ir∂(|eir∂u|p−1eir∂u)dr=0and prove the global existence versus finite time blowup dichotomy for the mass-supercritical cases, that is, p>9. © 2024 Elsevier Ltd
키워드
Dispersion management; Gagliardo–Nirenberg–Strichartz estimate; Global and blowup dichotomy; Nonlocal NLS; CONCENTRATION-COMPACTNESS PRINCIPLE; NONLINEAR SCHRODINGER-EQUATION; VARIATIONAL PROBLEM; WELL-POSEDNESS; GROUND-STATE; SOLITONS; SCATTERING; TRANSMISSION; CALCULUS; SYSTEM
- 제목
- Global existence versus finite time blowup dichotomy for the dispersion managed NLS
- 저자
- Choi, Mi-Ran; Hong, Younghun; Lee, Young-Ran
- 발행일
- 2025-02
- 유형
- Article
- 권
- 251