Low regularity local solutions for field equations

@inproceedings{Michael1996LowRL,
  title={Low regularity local solutions for field equations},
  author={Beals Michael and Max Bezard},
  year={1996}
}
We prove local existence and uniqueness of low regularity solutions to semi-linear systems. The Smoothness of our solutions is below the classical level. The main lemma is an L2 estimate for products of solutions of linear equations inspried by earlier work by Strichartz, Klainerman and Machedon.