Boundary Gradient Estimates for Parabolic and Elliptic Systems from Linear Laminates

被引：8

作者：

Dong, Hongjie ^{[1
]}

Xiong, Jingang ^{[2
]}

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[2] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 17期

基金：

美国国家科学基金会;

关键词：

DIVERGENCE FORM; REGULARITY; EQUATIONS;

D O I：

10.1093/imrn/rnu185

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study boundary gradient estimates for second-order divergence form parabolic and elliptic systems in C-1,C-sigma-domains. The coefficients and data are assumed to be Holder in the time variable and all but one spatial variables. This type of systems arises from the problems of linearly elastic laminates and composite materials.

引用

页码：7734 / 7756

页数：23

共 50 条

[21] Gradient potential estimates for elliptic obstacle problems
Xiong, Qi
Zhang, Zhenqiu
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 495 (01)
[22] Gradient estimates for elliptic equations with measurable nonlinearities
Kim, Youchan
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2018, 114 : 118 - 145
[23] BOUNDEDNESS, A PRIORI ESTIMATES AND EXISTENCE OF SOLUTIONS OF ELLIPTIC SYSTEMS WITH NONLINEAR BOUNDARY CONDITIONS
Kosirova, I.
Quittner, P.
ADVANCES IN DIFFERENTIAL EQUATIONS, 2011, 16 (7-8) : 601 - 622
[24] Nonlinear fractional elliptic systems with boundary measure data: Existence and a priori estimates
Bhakta, Mousomi
Phuoc-Tai Nguyen
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 475 (02) : 1614 - 1635
[25] Weighted gradient estimates for higher order elliptic systems with non-smooth coefficients
The Anh Bui
The Quan Bui
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 194
[26] Gradient estimates for non-uniformly elliptic problems with BMO nonlinearity
Byun, Sun-Sig
Lee, Ho -Sik
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 520 (01)
[27] Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems
Auscher, Pascal
Mourgoglou, Mihalis
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2014, 109 : 446 - 482
[28] LINEAR ELLIPTIC AND PARABOLIC PDEs WITH NONLINEAR MIXED BOUNDARY CONDITIONS AND SPATIAL HETEROGENEITIES
Cano-Casanova, Santiago
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[29] Gradient estimates in generalized Morrey spaces for parabolic operators
Byun, Sun-Sig
Softova, Lubomira G.
MATHEMATISCHE NACHRICHTEN, 2015, 288 (14-15) : 1602 - 1614
[30] BOUNDEDNESS AND A PRIORI ESTIMATES OF SOLUTIONS TO ELLIPTIC SYSTEMS WITH DIRICHLET-NEUMANN BOUNDARY CONDITIONS
Kelemen, Sandor
Quittner, Pavol
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2010, 9 (03) : 731 - 740

← 1 2 3 4 5 →