Wellposedness and Asymptotic Behavior of the Perturbed Nonlinear Schrödinger Equation with Kerr Law Nonlinearity and Localized Damping
Author:
Affiliation:
1. Hunan Institute of Science and Technology
2. Yulin Normal University
3. Guangxi University for Nationalities
Publisher
Division of Functional Equations, The Mathematical Society of Japan (JST)
Subject
Geometry and Topology,Algebra and Number Theory,Analysis
Link
https://www.jstage.jst.go.jp/article/fesi/63/3/63_293/_pdf
Reference50 articles.
1. [1] Ablowitz, M. J., Hammack, J., Henderson, D. and Schober, C. M., Long-time dynamics of the modulational instability of deep water waves, Physica D, 152-153 (2001), 416-433.
2. [2] Biswas, A. and Konar, S., Introduction to Non-Kerr Law Optical Solitons, CRC Press, Boca Raton, FL, 2007.
3. [3] Bourgain, J., Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I, Schrödinger equations, Geom. Funct. Anal., 3 (1993), 107-156.
4. [4] Colliander, J., Keel, M., Staffilani, G., Takaoka, H. and Tao, T., A refined global well-posedness result for Schrödinger equations with derivative, SIAM J. Math. Anal., 34 (2002), 64-86.
5. [5] Colliander, J., Keel, M., Staffilani, G., Takaoka, H. and Tao, T., Sharp global well-posedness for periodic and nonperiodic KdV and mKdV, J. Amer. Math. Soc., 16 (2003), 705-749.
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