Global boundedness and Hölder regularity of solutions to general p(x,t)-Laplace parabolic equations

Mengyao Ding; Chao Zhang; Shulin Zhou

doi:10.1002/mma.6325

Global boundedness and Hölder regularity of solutions to general p(x,t)-Laplace parabolic equations

Mengyao Ding
, Chao Zhang^*
, Shulin Zhou

^*Corresponding author for this work

Peking University
School of Mathematics, Harbin Institute of Technology

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

15 Scopus citations

Abstract

In this paper, we establish global boundedness and Hölder regularity of the weak solution to the following parabolic p(x,t)-Laplace equation: (Formula presented.) under some proper assumptions on a and b. The Hölder continuity given in the present work extends known results to the equation with a general nondivergence term.

Original language	English
Pages (from-to)	5809-5831
Number of pages	23
Journal	Mathematical Methods in the Applied Sciences
Volume	43
Issue number	9
DOIs	https://doi.org/10.1002/mma.6325
State	Published - 1 Jun 2020
Externally published	Yes

Keywords

Hölder regularity
global boundedness
parabolic p(x;t)-Laplacian

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10.1002/mma.6325

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title = "Global boundedness and H{\"o}lder regularity of solutions to general p(x,t)-Laplace parabolic equations",

abstract = "In this paper, we establish global boundedness and H{\"o}lder regularity of the weak solution to the following parabolic p(x,t)-Laplace equation: (Formula presented.) under some proper assumptions on a and b. The H{\"o}lder continuity given in the present work extends known results to the equation with a general nondivergence term.",

keywords = "H{\"o}lder regularity, global boundedness, parabolic p(x;t)-Laplacian",

author = "Mengyao Ding and Chao Zhang and Shulin Zhou",

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T1 - Global boundedness and Hölder regularity of solutions to general p(x,t)-Laplace parabolic equations

AU - Ding, Mengyao

AU - Zhang, Chao

AU - Zhou, Shulin

PY - 2020/6/1

Y1 - 2020/6/1

N2 - In this paper, we establish global boundedness and Hölder regularity of the weak solution to the following parabolic p(x,t)-Laplace equation: (Formula presented.) under some proper assumptions on a and b. The Hölder continuity given in the present work extends known results to the equation with a general nondivergence term.

AB - In this paper, we establish global boundedness and Hölder regularity of the weak solution to the following parabolic p(x,t)-Laplace equation: (Formula presented.) under some proper assumptions on a and b. The Hölder continuity given in the present work extends known results to the equation with a general nondivergence term.

KW - Hölder regularity

KW - global boundedness

KW - parabolic p(x;t)-Laplacian

UR - https://www.scopus.com/pages/publications/85081723257

U2 - 10.1002/mma.6325

DO - 10.1002/mma.6325

M3 - 文章

AN - SCOPUS:85081723257

SN - 0170-4214

VL - 43

SP - 5809

EP - 5831

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 9

ER -

Global boundedness and Hölder regularity of solutions to general p(x,t)-Laplace parabolic equations

Abstract

Keywords

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