On the Continuum Limit for Discrete NLS with Long-Range Lattice Interactions

Author:

Kirkpatrick Kay,Lenzmann Enno,Staffilani Gigliola

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference17 articles.

1. Ablowitz, M., Prinar, B., Trubatch, A.: Discrete and Continuous Nonlinear Schrödinger Systems. London Mathematical Society Lecture Note Series, No. 302, Cambridge: Cambridge University Press, 2004

2. Cazenave, T., Haraux, A.: An introduction to semilinear evolution equations. Oxford Lecture Series in Mathematics and its Applications, Volume 13. New York: The Clarendon Press/Oxford University Press, 1998

3. Dickinson D.: Approximative Riemann-sums for improper integrals. Quart. J. Math. 12(1), 176–183 (1941)

4. Frank, R.L., Lenzmann, E.: Uniqueness and nondegeneracy of ground states for (−Δ) s Q+Q−Q α+1 = 0 in $${\mathbb{R}}$$ . Preprint available at http://arxiv.org/abs/1009.4042v1 [math.AP], 2010

5. Gaididei Yu., Mingaleev S., Christiansen P., Rasmussen K.: Effect of nonlocal dispersion on self-trapping excitations. Phys. Rev. E 55:5, 6141–6150 (1997)

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