Acta mathematica scientia, Series B >
THREE-SPHERE INEQUALITIES FOR SECOND ORDER SINGULAR PARTIAL DIFFERENTIAL EQUATIONS
Received date: 2007-08-14
Online published: 2010-05-20
Supported by
This work was supported in part by the NNSF of China (10471069, 10771110), and by NSF of Ningbo City (2009A610084)
In this article, we give the three-sphere inequalities and three-ball inequalities for the singular elliptic equation div(A\nabla u)-Vu=0, and the three-ball inequalities on the characteristic plane and the three-cylinder inequalities for the singular parabolic equation ∂tu-div(A\nabla u)+Vu=0, where the singular potential V belonging to the Kato-Fefferman-Phong's class. Some applications are also discussed.
ZHANG Song-Yan . THREE-SPHERE INEQUALITIES FOR SECOND ORDER SINGULAR PARTIAL DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2010 , 30(3) : 993 -1003 . DOI: 10.1016/S0252-9602(10)60096-3
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