English

Bilinear estimates associated to the Schr\"odinger equation with a nonelliptic principal part

Classical Analysis and ODEs 2007-12-19 v2 Analysis of PDEs

Abstract

We discuss bilinear estimates of tempered distributions in the Fourier restriction spaces for the two-dimensional Sch\"odinger equation whose principal part is the d'Alembertian. We prove that the bilinear estimates hold if and only if the tempered distributions are functions.

Keywords

Cite

@article{arxiv.math/0504454,
  title  = {Bilinear estimates associated to the Schr\"odinger equation with a nonelliptic principal part},
  author = {Eiji Onodera},
  journal= {arXiv preprint arXiv:math/0504454},
  year   = {2007}
}

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