08-82 Dirk Hundertmark, Young-Ran Lee

Decay estimates and smoothness for solutions of the dispersion managed non-linear Schr\"odinger equation (81K, LaTeX2e) Apr 23, 08

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Abstract. We study the decay and smoothness of solutions of the dispersion managed non-linear Schr\"odinger equation in the case of zero residual dispersion. Using new $x$-space versions of bilinear Strichartz estimates, we show that the solutions are not only smooth, but also fast decaying.

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