  The development of new supernova neutrino detectors relies on the expected
hard energy spectrum of the nu_mu and nu_tau emitted in the supernova. We show
that SN1987A was sensitive to the large mixing angle (LMA) and "just so"
solution to the solar neutrino problem. We review the previous analysis of the
SN1987A data and propose a new analysis. The results of this analysis strongly
disfavor the LMA solution, provided the nu_mu and nu_tau are hard as predicted
