For a weighted porous medium equation with a rough density, every non-negative solution has a unique initial measure trace in a sharp Morrey-type class, and no two such solutions share the same trace.
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A porous medium equation with rough weights: sharp Widder theory
For a weighted porous medium equation with a rough density, every non-negative solution has a unique initial measure trace in a sharp Morrey-type class, and no two such solutions share the same trace.