  We consider $(1+1)$-dimensional dilatonic black hole with two horizons,
canonical temperatures of which do not coincide. We show that the presence of
quantum fields in such a background leads to a substantial backreaction on the
metric: 2D dilatonic analog of the semiclassical Einstein equations are solved
self-consistently, and we demonstrate that taking into account of backreaction
leads to a geometry with two horizons with coinciding temperatures.
