Regularity for weak solutions to nondiagonal quasilinear degenerate parabolic systems with controllable growth conditions

被引：0

作者：

Dong, Yan ^{[1
]}

Li, Dongyan ^{[2
]}

机构：

[1] Hubei Univ Econ, Dept Appl Math, Wuhan 430205, Hubei, Peoples R China

[2] Xian Polytech Univ, Dept Appl Math, Xian 710048, Shaanxi, Peoples R China

来源：

NEW YORK JOURNAL OF MATHEMATICS | 2018年 / 24卷

基金：

中国国家自然科学基金;

关键词：

Nondiagonal parabolic system; Hormander's vector fields; controllable growth condition; regularity; HORMANDERS VECTOR-FIELDS; ELLIPTIC-SYSTEMS; SUBELLIPTIC SYSTEMS; EQUATIONS; THEOREMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to study regularity for weak solutions to the nondiagonal quasilinear degenerate parabolic systems related to Hormander's vector fields, where the lower order items satisfy controllable growth conditions. Higher Morrey regularity is proved by establishing a reverse Holder inequality for weak solutions, and then Holder regularity is obtained by the isomorphic relationship.

引用

页码：53 / 81

页数：29

共 27 条

[1] ON BMO REGULARITY FOR LINEAR ELLIPTIC-SYSTEMS [J].

ACQUISTAPACE, P .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1992, 161 :231-269

[2]

[Anonymous], 1994, Rev. Mat. Iberoam.

[3]

[Anonymous], 2002, PHYS REV LETT

[4]

[Anonymous], 1980, ANN SCUOLA NORM-SCI

[5]

CAMPANATO Sergio, 1986, CONFER SEM MAT U BAR, V208

[6]

CHEN YA-ZHE, 1998, TRANSLATIONS MATH MO, V174

[7] Global Regularity of Weak Solutions to Quasilinear Elliptic and Parabolic Equations with Controlled Growth [J].

Dong, Hongjie ;

Kim, Doyoon .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, 36 (10) :1750-1777

[8] Regularity for weak solutions to nondiagonal quasilinear degenerate elliptic systems [J].

Dong, Yan ;

Niu, Pengcheng .

JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 270 (07) :2383-2414

[9] GRADIENT ESTIMATES IN MORREY SPACES OF WEAK SOLUTIONS TO QUASILINEAR PARABOLIC SYSTEMS OF HORMANDER'S VECTOR FIELDS [J].

Dong, Yan .

MISKOLC MATHEMATICAL NOTES, 2013, 14 (03) :851-869

[10] Holder regularity for weak solutions to divergence form degenerate quasilinear parabolic systems [J].

Dong, Yan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 410 (01) :375-390

← 1 2 3 →