****************************************************** PR # 22007 We propose to study the coronae of two of the most variable dMe stars (UV Cet, EQ Peg). Both targets are significantly variable on timescales of 10 minutes and longer and frequently show strong X-ray flares. These stars have been suggested to show evidence for coronal heating by flare-like events. ASCA's spectral resolution will allow us to get a detailed emission measure distribution as a function of temperature both for quiescent and flaring states and to identify high-T plasma (above 10 MK) with great accuracy. By fitting the spectra, T-sensitive line blends will show whether dynamic processes heat the coronae to a continuum of temperatures, or whether canonical 2-T models apply. Knowledge of temperature distribution and variability is crucial for the ******************************************************