****************************************************** PR # 42094 The soft X-ray emission seen shortly after a Type II supernova is the dominant radiative loss mechanism in SNR that are a few years old. The nature and evolution of this emission represents one of the major unexplored areas in the study of supernovae, but current telescopes make studies possible. To explain the emission, two theories have been proposed, a reverse shock model (with variations) and a cloud crushing model. Single X-ray spectra cannot distinguish between the two models, but the time evolution of the X-ray spectra should be a powerful diagnostic and here we propose to obtain the fundamental data that will constrain the models: high-quality X-ray spectra as a function of time for SN1986J, SN1978K (these will be second-epoch spectra), and SN 1993J. ******************************************************