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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 Schrodinger equation of a power-type nonlinearity i(t)u + d(avx)(2)u + integral(1)(0) e(x)(-ir)2(|e(x)(ir)2u|(p-1) e(x)(ir)2u) dr = 0 and prove the global existence versus finite time blowup dichotomy for the mass-supercritical cases, that is, p > 9.
키워드
Nonlocal NLS; Dispersion management; Global and blowup dichotomy; Gagliardo-Nirenberg-Strichartz estimate; 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