  In this work, we study the short-time existence theory of Ricci-DeTurck flow
starting from rough metrics which satisfy a Morrey-type integrability
condition. Using the rough existence theory, we show the preservation and
improvement of distributional scalar curvature lower bounds provided the
singular set for such metrics is not too large. As an application, we use the
Ricci flow smoothing to study the removable singularity for scalar curvature
rigidity in the compact case under Morrey regularity conditions. Our result
supplements those of Jiang-Sheng-Zhang.
