Boundary Riesz potential estimates for parabolic equations with measurable nonlinearities

We obtain a boundary pointwise gradient estimate on a parabolic half cube $ Q_{2R} \cap \{ (x^{1}, x', t) \in \mathbb{R}^{n+1} : x^{1} > 0 \} $ for nonlinear parabolic equations with measurable nonlinearities, which are only assumed to be measurable in $ x^{1} $-variable. The estimates are o...

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Bibliographic Details
Main Authors: Ho-Sik Lee, Youchan Kim
Format: Article
Language:English
Published: AIMS Press 2025-01-01
Series:Communications in Analysis and Mechanics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/cam.2025004
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