Global attractor for a nonlinear Schrödinger equation with a nonlinearity concentrated in one point
Author:
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference22 articles.
1. R. Adami, A. Teta.A simple model of concentrated nonlinearity: Operator theory, Mathematical Results in Quantum Mechanics, 108 (1999), 183-189.
2. N. Akroune.Regularity of the attractor for a weakly damped nonlinear Schrödinger equation on $\mathbb R$, Appl. Math. Lett., 12 (1999), 45-48.
3. J. M. Ball.Global attractors for damped semilinear wave equations, Discrete Contin. Dyn. Syst., 10 (2004), 31-52.
4. O. M. Bulashenko, V. A. Kochelap and L. L. Bonilla, Coherent patterns and self-indiced diffraction of electrons on a thin nonlinear layer, Phys.Rev B, 54 (1996), 1537–1540. arXiv: cond-mat/9604164.
5. T. Cazenave, Semilinear Schrödinger Equations, , Courant Lecture Notes in Mathematics, 10. New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 2003.
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