In the first part of the talk we discuss T-duality for a free boson on
a world sheet with boundary in a setting suitable for the generalizat
ion to non-trivial backgrounds. The gauging method as well as the cano
nical transformation are considered. In both cases Dirichlet strings a
s T-duals of Neumann strings arise in a generic way. In the second par
t the gauging method is employed to construct the T-dual of a model wi
th non-abelian isometries.