JournalszaaVol. 27, No. 1pp. 1–10

Bilinear Estimates Associated to the Schrödinger Equation with a Nonelliptic Principal Part

  • Eiji Onodera

    Kochi University, Japan
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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.

Cite this article

Eiji Onodera, Bilinear Estimates Associated to the Schrödinger Equation with a Nonelliptic Principal Part. Z. Anal. Anwend. 27 (2008), no. 1, pp. 1–10

DOI 10.4171/ZAA/1340