Colombeau's generalized functions are used to adapt the distributional appr
oach to singular hypersurfaces in general relativity with signature change.
Equations governing the dynamics of a singular hypersurface are derived an
d a specific non-vanishing form for the energy-momentum tensor of the singu
lar hypersurface is obtained. It is shown that matching in the case of de S
itter space in the Lorentzian sector is possible along the boundary with mi
nimum radius but leads to the vanishing of the energy-momentum tensor of th
e singular hypersurface.