Abstract
We prove Hölder continuity for scalar valued local parabolic quasi-minimizers on metric measure spaces. More precisely we consider locally bounded quasi-minimizers u associated to a Carathéodory integrand f obeying p-growth assumptions for p>1. The superquadratic case p>2 has already been considered in [31] by studying parabolic De Giorgi classes in metric measure spaces. By generalizing the results in [36] to the metric setting we are able to even consider the subquadratic case 1<p<2.
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