  Boundary effects play an interesting role in finite-size physical systems. In
this work, we study the boundary-induced properties of 1+1-dimensional critical
systems driven by inhomogeneous M\"obius-like quenches. We focus on the
entanglement entropy in BCFTs with a large central charge and a sparse spectrum
of low-dimensional operators. We find that the choice of boundary conditions
leads to different scenarios of dynamical phase transitions. We also derive
these results in a holographic description in terms of intersecting branes in
AdS$_3$, and find a precise match.
