Local Calderón-Zygmund estimates for parabolic equations in weighted Lebesgue spaces

We prove local Calderón-Zygmund type estimates for the gradient of weak solutions to degenerate or singular parabolic equations of $ p $-Laplacian type with $ p > \frac{2n}{n+2} $ in weighted Lebesgue spaces $ L^q_w $. We introduce a new condition on the weight $ w $ which depends on the intr...

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Bibliographic Details
Main Authors: Mikyoung Lee, Jihoon Ok
Format: Article
Language:English
Published: AIMS Press 2023-09-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2023062?viewType=HTML