HIGHER INTEGRABILITY FOR PARABOLIC SYSTEMS WITH NON-STANDARD GROWTH AND DEGENERATE DIFFUSIONS

被引：0

作者：

Boegelein, Verena ^{[1
]}

Duzaar, Frank ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Dept Math, D-91054 Erlangen, Germany

来源：

PUBLICACIONS MATEMATIQUES | 2011年 / 55卷 / 01期

关键词：

Higher integrability; degenerate parabolic systems; non-standard growth condition; parabolic p-Laplacean; NONLINEAR ELLIPTIC SYSTEMS; P-LAPLACIAN TYPE; WEAK SOLUTIONS; REGULARITY; GRADIENT; EQUATIONS; BOUNDARY; EXPONENT; FLUIDS;

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 establish a Meyer's type higher integrability result for weak solutions of possibly degenerate parabolic systems of the type partial derivative(t)u - div a(x, t, Du) = div(vertical bar F vertical bar F-p(x,F- t)-2). The vector-field a is assumed to fulfill a non-standard p(x, t)-growth condition. In particular it is shown that there exists epsilon > 0 depending only on the structural data such that there holds: vertical bar Du vertical bar(p(.)(1+epsilon)) is an element of L-loc(1), together with a local estimate for the p(.)(1+epsilon)-energy.

引用

页码：201 / 250

页数：50

共 50 条

[11] Gradient Higher Integrability for Degenerate/Singular Parabolic Multi-phase ProblemsGradient Higher Integrability for Degenerate/Singular Parabolic...A. Sen
Abhrojyoti Sen
The Journal of Geometric Analysis, 2025, 35 (6):
[12] Parabolic equations with non-standard growth and measure or integrable data
Bulicek, Miroslav
Woznicki, Jakub
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2025, 251
[13] Very weak solutions of subquadratic parabolic systems with non-standard p(x,t)-growth
Li, Qifan
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 156 : 17 - 41
[14] HIGHER INTEGRABILITY RESULTS FOR NON SMOOTH PARABOLIC SYSTEMS: THE SUBQUADRATIC CASE
Leone, Chiara
Verde, Anna
Pisante, Giovanni
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2009, 11 (01): : 177 - 190
[15] On the Necessity of the Wiener Condition for Singular Parabolic Equations with Non-standard Growth
Skrypnik, Igor I.
ADVANCED NONLINEAR STUDIES, 2011, 11 (03) : 701 - 731
[16] Global weighted estimates for the nonlinear parabolic equations with non-standard growth
Zhang, Chao
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2016, 55 (05)
[17] Global weighted estimates for the nonlinear parabolic equations with non-standard growth
Chao Zhang
Calculus of Variations and Partial Differential Equations, 2016, 55
[18] Weighted Lq(.)-estimates for the nonlinear parabolic equations with non-standard growth
Jiao, Yong
Saibi, Khedoudj
Zhang, Chao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 489 (01)
[19] Higher integrability for doubly nonlinear parabolic systems
Boegelein, Verena
Duzaar, Frank
Kinnunen, Juha
Scheven, Christoph
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2020, 143 : 31 - 72
[20] Higher integrability for doubly nonlinear parabolic systems
Boegelein, Verena
Duzaar, Frank
Scheven, Christoph
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2022, 3 (06):

← 1 2 3 4 5 →