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

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.

References in corpus (1)

• On the Cauchy- and periodic boundary value problem for a certain class of derivative nonlinear Schroedinger equations

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