Weighted regularity estimates for a class of higher-order nonlinear parabolic and elliptic systems

The Anh Bui; Xuan Thinh Duong; Xuan Truong Le

doi:10.1016/j.na.2018.10.009

Weighted regularity estimates for a class of higher-order nonlinear parabolic and elliptic systems

The Anh Bui, Xuan Thinh Duong, Xuan Truong Le^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this paper, we prove the weighted L^p regularity estimates and the Morrey regularity estimates for a class of higher-order nonlinear parabolic systems which satisfy an asymptotically regular condition. As a byproduct, similar regularity estimates are also obtained for a corresponding class of higher-order nonlinear elliptic systems.

Original language	English
Pages (from-to)	184-207
Number of pages	24
Journal	Nonlinear Analysis
Volume	180
DOIs	https://doi.org/10.1016/j.na.2018.10.009
Publication status	Published - 1 Mar 2019

Keywords

Asymptotically regular
BMO norm
Higher-order elliptic systems
Higher-order parabolic systems
Morrey spaces
Weighted Lebesgue spaces

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10.1016/j.na.2018.10.009

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@article{a06e18853e694c8a80bae785e9c5a70d,

title = "Weighted regularity estimates for a class of higher-order nonlinear parabolic and elliptic systems",

abstract = "In this paper, we prove the weighted Lp regularity estimates and the Morrey regularity estimates for a class of higher-order nonlinear parabolic systems which satisfy an asymptotically regular condition. As a byproduct, similar regularity estimates are also obtained for a corresponding class of higher-order nonlinear elliptic systems.",

keywords = "Asymptotically regular, BMO norm, Higher-order elliptic systems, Higher-order parabolic systems, Morrey spaces, Weighted Lebesgue spaces",

author = "Bui, \{The Anh\} and Duong, \{Xuan Thinh\} and Le, \{Xuan Truong\}",

year = "2019",

month = mar,

day = "1",

doi = "10.1016/j.na.2018.10.009",

language = "English",

volume = "180",

pages = "184--207",

journal = "Nonlinear Analysis",

issn = "0362-546X",

publisher = "Elsevier",

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TY - JOUR

T1 - Weighted regularity estimates for a class of higher-order nonlinear parabolic and elliptic systems

AU - Bui, The Anh

AU - Duong, Xuan Thinh

AU - Le, Xuan Truong

PY - 2019/3/1

Y1 - 2019/3/1

N2 - In this paper, we prove the weighted Lp regularity estimates and the Morrey regularity estimates for a class of higher-order nonlinear parabolic systems which satisfy an asymptotically regular condition. As a byproduct, similar regularity estimates are also obtained for a corresponding class of higher-order nonlinear elliptic systems.

AB - In this paper, we prove the weighted Lp regularity estimates and the Morrey regularity estimates for a class of higher-order nonlinear parabolic systems which satisfy an asymptotically regular condition. As a byproduct, similar regularity estimates are also obtained for a corresponding class of higher-order nonlinear elliptic systems.

KW - Asymptotically regular

KW - BMO norm

KW - Higher-order elliptic systems

KW - Higher-order parabolic systems

KW - Morrey spaces

KW - Weighted Lebesgue spaces

UR - https://www.scopus.com/pages/publications/85056648140

U2 - 10.1016/j.na.2018.10.009

DO - 10.1016/j.na.2018.10.009

M3 - Article

AN - SCOPUS:85056648140

SN - 0362-546X

VL - 180

SP - 184

EP - 207

JO - Nonlinear Analysis

JF - Nonlinear Analysis

ER -

Weighted regularity estimates for a class of higher-order nonlinear parabolic and elliptic systems

Abstract

Keywords

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