Local well-posedness of nonlinear dispersive equations on modulation spaces

@article{Benyi2009LocalWO,
  title={Local well-posedness of nonlinear dispersive equations on modulation spaces},
  author={'Arp'ad B'enyi and K. Okoudjou},
  journal={Bulletin of The London Mathematical Society},
  year={2009},
  volume={41},
  pages={549-558}
}
By using tools of time-frequency analysis, we obtain some improved local well-posedness results for the NLS, NLW and NLKG equations with Cauchy data in modulation spaces $M{p, 1}_{0,s}$. 
Stability of nonlinear Schrödinger equations on modulation spaces
Modulation Spaces and Nonlinear Evolution Equations
Remarks on Fourier multipliers and applications to the Wave equation
Phase space analysis of semilinear parabolic equations
Boundedness of Multilinear Pseudo-differential Operators on Modulation Spaces
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