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
收藏
页码：5817 / 5837
页数：21
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