Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems

被引：5

作者：

Kim, Wontae ^{[1
]}

Kinnunen, Juha ^{[2
]}

Moring, Kristian ^{[2
]}

机构：

[1] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea

[2] Aalto Univ, Dept Math, POB 11100, Aalto 00076, Finland

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2023年 / 247卷 / 05期

关键词：

REGULARITY; GROWTH; FUNCTIONALS; EQUATIONS; CALCULUS;

D O I：

10.1007/s00205-023-01918-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a local higher integrability result for the gradient of a weak solution to degenerate parabolic double-phase systems of p-Laplace type. This result comes with reverse Holder type estimates. The proof is based on a careful phase analysis, estimates in the intrinsic geometries and stopping time arguments.

引用

页数：46

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