Persistence of solutions to higher order nonlinear Schrödinger equation

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

Applying an Abstract Interpolation Lemma, we can show persistence of
solutions of the initial value problem to higher order nonlinear Schr\"odinger
equation, also called Airy-Schr\"odinger equation, in weighted Sobolev spaces
$\mathcal{X}^{2,\theta}$, for $0 \le \theta \le 1$.

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