  Much of the current experimental efforts for detecting Majorana zero modes
have been centered on probing the boundary of quantum wires with strong
spin-orbit coupling. The same type of Majorana zero mode can also be realized
at crystalline dislocations in 2D superconductors with the nontrivial weak
topological indices. Unlike at an Abrikosov vortex, at such a dislocation,
there are no other low-lying midgap states than the Majorana zero mode so that
it avoids usual complications encountered in experimental detections such as
scanning tunneling microscope (STM) measurements. We will show that, using the
anisotropic dispersion of the $t_{2g}$ orbitals of Ti or Ta atoms, such a weak
topological superconductivity can be realized when the surface 2DEG of
SrTiO$_3$ or KTaO$_3$ becomes superconducting, which can occur through either
intrinsic pairing or proximity to existing s-wave superconductors.
