Some local wellposedness results for nonlinear Schroedinger equations below L^2

Axel Gruenrock

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Some local wellposedness results for nonlinear Schroedinger equations below L^2

Axel Gruenrock

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Abstract

We prove some local (in time) wellposedness results for nonlinear Schroedinger equations with rough data, that is, the initial value belongs to some Sobolev space of negative index. The proof uses the Fourier restriction norm method.

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Axel Gruenrock. 2001-08-23. Some local wellposedness results for nonlinear Schroedinger equations below L^2. https://arxiv.org/abs/math/0011157

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