HOLDER REGULARITY FOR MIXED LOCAL AND NONLOCAL p-LAPLACE PARABOLIC EQUATIONS

被引：7

作者：

Shang, Bin ^{[1
]}

Zhang, Chao ^{[2
]}

机构：

[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China

[2] Inst Adv Study Math, Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2022年

基金：

中国国家自然科学基金;

关键词：

Expansion of positivity; H?lder continuity; mixed local and nonlocal parabolic p-Laplace equation; HARNACK PRINCIPLE; GRADIENT;

D O I：

10.3934/dcds.2022126

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a unified proof of Holder regularity of weak solutions for mixed local and nonlocal p-Laplace type parabolic equations with the full range of exponents 1 < p < infinity. Our proof is based on the expansion of positivity together with the energy estimate and De Giorgi type lemma.

引用

页码：5817 / 5837

页数：21

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