  We demonstrate that in quantum-dot cavity systems, the interplay between
acoustic phonons and photon losses introduces novel features and characteristic
dependencies in the system dynamics. In particular, the combined action of both
loss mechanisms strongly affects the transition from the weak to the strong
coupling regime as well as the shape of Mollow-type spectra in untypical ways.
For weak coupling, where the spectra degenerate to a single line, we predict
that their widths decrease with rising temperature.
