NARROW DOMAINS AND THE HARNACK INEQUALITY FOR ELLIPTIC EQUATIONS

被引：1
作者：
Safonov, M. V. [1 ]
机构：
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
来源：
ST PETERSBURG MATHEMATICAL JOURNAL | 2016年 / 27卷 / 03期
关键词：
Second-order elliptic equations; Harnack inequality; measurable coefficients; THEOREM;
D O I：
10.1090/spmj/1401
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a direct proof of Moser's Harnack inequality that does not involve iterations. The method is based on a recursive estimate for solutions in domains of small measure. Such estimates can also be useful for other applications.
引用
收藏
页码：509 / 522
页数：14
相关论文
共 15 条
[1]  
[Anonymous], 1983, Grundlehren der Mathematischen Wissenschaften
[2]  
[Anonymous], 1963, Vestnik Leningrad. Univ.
[3]  
De Giorgi E., 1957, Mem. Acad. Sci. Torino. Cl. Sci. Fis. Mat. Nat., V3, P25
[4]  
Evans L. C., 2010, Partial Differential Equations, V19, DOI 10.1090/gsm/019
[5]  
Han Q., 1997, Courant Lecture Notes in Mathematics, V1
[6]  
Krylov N. V., 1980, IZV AKAD NAUK SSSR M, V44, P161
[7]  
Krylov N. V., 1985, 2 ORDER NONLINEAR EL
[8]  
Ladyzenskaja O. A., 1967, LINEAR QUASILINEAR E, P736
[9]  
Landis E. M., 1997, 2 ORDER EQUATIONS EL
[10]   HARNACK INEQUALITY FOR PARABOLIC DIFFERENTIAL EQUATIONS [J].
MOSER, J .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1964, 17 (01) :101-&
12