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Bilinear estimates associated to the Schrödinger equation with a nonelliptic principal part

Eiji Onodera

math.CAarXiv:math/0504454

Abstract

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

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