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

Bin Shang; Chao Zhang

doi:10.3934/dcds.2022126

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

Bin Shang
, Chao Zhang^*

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	5817-5837
Number of pages	21
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	42
Issue number	12
DOIs	https://doi.org/10.3934/dcds.2022126
State	Published - Dec 2022
Externally published	Yes

Keywords

Expansion of positivity
Hölder continuity
mixed local
nonlocal parabolic p-Laplace equation

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10.3934/dcds.2022126

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title = "H{\"O}LDER REGULARITY FOR MIXED LOCAL AND NONLOCAL p-LAPLACE PARABOLIC EQUATIONS",

abstract = "We give a unified proof of H{\"o}lder regularity of weak solutions for mixed local and nonlocal p-Laplace type parabolic equations with the full range of exponents 1 < p < ∞. Our proof is based on the expansion of positivity together with the energy estimate and De Giorgi type lemma.",

keywords = "Expansion of positivity, H{\"o}lder continuity, mixed local, nonlocal parabolic p-Laplace equation",

author = "Bin Shang and Chao Zhang",

year = "2022",

month = dec,

doi = "10.3934/dcds.2022126",

language = "英语",

volume = "42",

pages = "5817--5837",

journal = "Discrete and Continuous Dynamical Systems- Series A",

issn = "1078-0947",

publisher = "American Institute of Mathematical Sciences",

number = "12",

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T1 - HÖLDER REGULARITY FOR MIXED LOCAL AND NONLOCAL p-LAPLACE PARABOLIC EQUATIONS

AU - Shang, Bin

AU - Zhang, Chao

PY - 2022/12

Y1 - 2022/12

N2 - We give a unified proof of Hölder regularity of weak solutions for mixed local and nonlocal p-Laplace type parabolic equations with the full range of exponents 1 < p < ∞. Our proof is based on the expansion of positivity together with the energy estimate and De Giorgi type lemma.

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

KW - Expansion of positivity

KW - Hölder continuity

KW - mixed local

KW - nonlocal parabolic p-Laplace equation

UR - https://www.scopus.com/pages/publications/85142334848

U2 - 10.3934/dcds.2022126

DO - 10.3934/dcds.2022126

M3 - 文章

AN - SCOPUS:85142334848

SN - 1078-0947

VL - 42

SP - 5817

EP - 5837

JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 12

ER -

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

Abstract

Keywords

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