  We study Cauchy problem for the Klein-Gordon (HNLKG), wave (HNLW) and
Schr\"odinger (HNLS) equations with cubic convolution (Hartree type)
nonlinearity. Some global well-posedness and scattering are obtained for the
(HNLKG) and (HNLS) with small Cauchy data in some modulation spaces. Global
well-posedness for fractional Schr\"odinger (fNLSH) equation with Hartree type
nonlinearity is obtained with Cauchy data in some modulation spaces. Local
well-posedness for (HNLW), (fHNLS) and (HNLKG) with rough data in modulation
spaces is shown. This improves known results in Sobolev spaces in some sense.
As a consequence, we get local and global well-posedness and scattering in
larger than usual $L^p-$Sobolev spaces and we could include wider class of
Hartree type nonlinarity.
