THREE-SPHERE INEQUALITIES FOR SECOND ORDER SINGULAR PARTIAL DIFFERENTIAL EQUATIONS  

作　　者：张松艳 

机构地区：[1]Zhejiang University of Science and Technology

出　　处：《Acta Mathematica Scientia》2010年第3期993-1003,共11页数学物理学报（B辑英文版）

基　　金：supported in part by the NNSF of China (10471069, 10771110);by NSF of Ningbo City (2009A610084)

摘　　要：In this article, we give the three-sphere inequalities and three-ball inequalities for the singular elliptic equation div（A∨u） - Vu =0, and the three-ball inequalities on the characteristic plane and the three-cylinder inequalities for the singular parabolic equation Эtu-div（A∨u） ＋ Vu = 0, where the singular potential V belonging to the Kato-Fefferman- Phong＇s class. Some applications are also discussed.In this article, we give the three-sphere inequalities and three-ball inequalities for the singular elliptic equation div（A∨u） - Vu =0, and the three-ball inequalities on the characteristic plane and the three-cylinder inequalities for the singular parabolic equation Эtu-div（A∨u） ＋ Vu = 0, where the singular potential V belonging to the Kato-Fefferman- Phong＇s class. Some applications are also discussed.

关 键 词：Three-sphere inequality three-cylinder inequality singular partial differential equation Kato-Fefferman-Phong＇s class Lipschitz domain 

分 类 号：O175.2[理学—数学]