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arXiv · 2204.04957

Wellposedness of NLS in Modulation Spaces

Friedrich Klaus
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Abstract

We prove new local and global well-posedness results for the cubic one-dimensional nonlinear Schr\"odinger equation in modulation spaces. Local results are obtained via multilinear interpolation. Global results are proven using conserved quantities based on the complete integrability of the equation, persistence of regularity, and by separating off the time evolution of finitely many Picard iterates.

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Friedrich Klaus. 2022-04-11. Wellposedness of NLS in Modulation Spaces. https://arxiv.org/abs/2204.04957

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