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Xiu-Jin Chen

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Preprint Sep 2026

Singular Sets and Doubling Properties in Parabolic Homogenization

We study the singular sets of real-valued solutions to periodic parabolic equations with rapidly oscillating coefficients. Under a nondegeneracy condition on the corrector matrix, we obtain a local parabolic $n$-dimensional Hausdorff measure bound and a codimension-two Minkowski estimate. The Minkowski estimate holds a...

Xiu-Jin Chen · 0 citations