On the Well-Posedness and Stability of Cubic and Quintic Nonlinear Schrödinger Systems on $$\mathbb {T}^3$$
Author:
Funder
Directorate for Mathematical and Physical Sciences
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics
Link
https://link.springer.com/content/pdf/10.1007/s00023-023-01371-5.pdf
Reference21 articles.
1. Abou Salem, W., Chen, T., Vougalter, V.: Existence and nonlinear stability of stationary states for the semi-relativistic Schrödinger-Poisson system. Ann. Henri Poincaré 15(6), 1171–1196 (2014)
2. Bourgain, J.: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I. Schrödinger equations. Geom. Funct. Anal. 3(2), 107–156 (1993)
3. Bourgain, J.: Global solutions of nonlinear Schrödinger equations. American Mathematical Society Colloquium Publications, vol. 46. American Mathematical Society, Providence, RI (1999)
4. Bourgain, J.: On Strichartz’s inequalities and the nonlinear Schrödinger equation on irrational tori. In: Mathematical Aspects of Nonlinear Dispersive Equations, volume 163 of Ann. of Math. Stud., pp 1–20. Princeton Univ. Press, Princeton, NJ (2007)
5. Bourgain, J.: Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces. Isr. J. Math. 193(1), 441–458 (2013)
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