  Pulsar timing arrays (PTAs) are used to search for long-wavelength
gravitational waves (GWs) by monitoring a set of spin-stable millisecond
pulsars. Most theoretical analyses assume that the relevant GW sources are much
more distant from Earth than the pulsars comprising the array. Unlike ground-
or solar system-based GW detectors, PTAs might well contain embedded GW
sources. We derive the PTA response from sources at any distance, with a
specific focus on GW bursts with memory (BWMs). We consider supernovae and
compact binary mergers as potential Galactic BWM sources and evaluate the
signature for an array with pulsars in globular clusters or in the Galactic
center. Understanding the response of PTAs to nearby sources of BWM is a step
towards investigating other more complex Galactic sources.
