Interior C1,γ-regularity for weak solutions of nonlinear second order parabolic systems

被引：2
作者：
Danecek, Josef
John, Oldrich
Stara, Jana
机构：
[1] Charles Univ, Fac Math & Phys, Dept Math Anal, Prague 8, Czech Republic
[2] Tech Univ Brno, Fac Civil Engn, Dept Math, Brno, Czech Republic
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2006年 / 31卷 / 07期
关键词：
Campanato-Morrey spaces; nonlinear parabolic systems; regularity;
D O I：
10.1080/03605300500361636
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The interior C-gamma,C-gamma/2-regularity for the first gradient with respect to the space variables of a weak solution to a class of nonlinear second order parabolic systems is proven under the assumption that oscillations of coefficients are controlled by the ellipticity constant.
引用
收藏
页码：1085 / 1098
页数：14
相关论文
共 7 条
[1]  
[Anonymous], 1985, COMMENT MATH U CAROL
[2]   ON THE NONLINEAR PARABOLIC-SYSTEMS IN DIVERGENCE FORM - HOLDER CONTINUITY AND PARTIAL HOLDER CONTINUITY OF THE SOLUTIONS [J].
CAMPANATO, S .
ANNALI DI MATEMATICA PURA ED APPLICATA, 1984, 137 :83-122
[3]  
CAMPANATO S, 1966, ANN MAT PUR APPL, V73, P55
[4]  
Da Prato G., 1965, ANN MAT PUR APPL, V69, P383, DOI 10.1007/BF02414378
[5]   Interior C1,γ-regularity for weak solutions of nonlinear second order elliptic systems [J].
Danecek, J ;
John, O ;
Stará, J .
MATHEMATISCHE NACHRICHTEN, 2004, 276 :47-56
[6]  
Evans L. C, 2010, Partial Differential Equations, V19
[7]  
Kufner A., 1977, FUNCTION SPACES
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