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<p>In this article, we study regularity properties for degenerate parabolic double-phase equations. We establish continuity estimates for bounded weak solutions in terms of elliptic Riesz potentials on the right-hand side of the equation. The proof is based on the De Giorgi-Kilpeläinen-Malý techniques and a phase analysis.</p>

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Continuity Estimates for Degenerate Parabolic Double-phase Equations Via Nonlinear Potentials

  • 期刊论文

  • 发表日期：

    2025年12月8日

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  • Qifan Li

摘要

In this article, we study regularity properties for degenerate parabolic double-phase equations. We establish continuity estimates for bounded weak solutions in terms of elliptic Riesz potentials on the right-hand side of the equation. The proof is based on the De Giorgi-Kilpeläinen-Malý techniques and a phase analysis.