Browsing by Author "Hermann, Alina"

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    The validity of the Nonlinear Schrödinger approximation in higher space dimensions
    (2014) Hermann, Alina; Schneider, Guido (Prof. Dr.)
    The goal of the present work is the proof of approximation results for the Nonlinear Schördinger approximation in higher space dimensions for dispersive systems. The focus is on systems with resonant quadratic terms, which can lead to some explosion before the end of the approximation interval. In higher space dimensions the resonance structure is much more complicated than in case of one space dimension. The proof of approximation results is based on normal form transforms and the use of time-dependent norms.