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The origin of fast radio bursts remains a puzzle. Suggestions have been madethat they are produced within the Earth atmosphere, in stellar coronae, inother galaxies or at cosmological distances. If they are extraterrestrial, theimplied brightness temperature is very high, and therefore, the inducedscattering places constraints on possible models. In this paper, constraintsare obtained on flares from coronae of nearby stars. It is shown that the radiopulses with the observed power could not be generated if the plasma densitywithin and in the nearest vicinity of the source is as high as it is necessaryin order to provide the observed dispersion measure. However, one cannotexclude a possibility that the pulses are generated within a bubble with a verylow density and pass through the dense plasma only in the outer corona.

Induced scattering limits on fast radio bursts from stellar coronae