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SOME SHARP BILINEAR SPACEā€“TIME ESTIMATES FOR THE WAVE EQUATION

SOME SHARP BILINEAR SPACEā€“TIME ESTIMATES FOR THE WAVE EQUATION

We prove a family of sharp bilinear spaceā€“time estimates for the half-wave propagator . As a consequence, for radially symmetric initial data, we establish sharp estimates of this kind for a range of exponents beyond the classical range.