Local boundedness of local weak solutions for doubly degenerate parabolic systems with singular weights

被引:1
作者
Wang, Yongzhong [1 ]
Niu, Pengcheng [1 ]
Cui, Xuewei [1 ]
机构
[1] NW Polytech Univ, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Local boundedness; Doubly degenerate; Parabolic system; Singular weight; EQUATIONS; INEQUALITIES; REGULARITY; BEHAVIOR;
D O I
10.1016/j.aml.2012.01.043
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove that local weak solutions for doubly degenerate parabolic systems with singular weights are locally bounded. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1711 / 1715
页数:5
相关论文
共 15 条
[1]   Holder regularity and Harnack inequality for degenerate parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities [J].
Abdellaoui, B ;
Alonso, IP .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 57 (7-8) :971-1003
[2]  
[Anonymous], 1993, DEGENERATE PARABOLIC, DOI DOI 10.1007/978-1-4612-0895-2
[3]  
CAFFARELLI L, 1984, COMPOS MATH, V53, P259
[4]  
DIBENEDETTO E, 1984, J REINE ANGEW MATH, V349, P83
[5]  
IVANOV A. V., 1991, J SOVIET MATH, V56, P2320
[6]   Local behaviour of solutions to doubly nonlinear parabolic equations [J].
Kinnunen, Juha ;
Kuusi, Tuomo .
MATHEMATISCHE ANNALEN, 2007, 337 (03) :705-728
[7]  
Kuusi T., INDIANA U MATH J PRE
[8]  
Ladyzhenska O.A., 1967, Proc. Stek. Inst. Math, V102, P95
[9]   HOLDER ESTIMATES FOR LOCAL SOLUTIONS OF SOME DOUBLY NONLINEAR DEGENERATE PARABOLIC EQUATIONS [J].
PORZIO, MM ;
VESPRI, V .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 103 (01) :146-178
[10]   Local boundedness for doubly degenerate quasi-linear parabolic systems [J].
Sango, M .
APPLIED MATHEMATICS LETTERS, 2003, 16 (04) :465-468