Morrey Estimates for Nondivergence Parabolic Operators with Discontinuous Coefficients on Homogeneous Groups  

作　　者：TANG Sufang WEI Na 

机构地区：[1]Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China.

出　　处：《Journal of Partial Differential Equations》2010年第1期1-15,共15页偏微分方程（英文版）

基　　金：Acknowledgments This work was supported by Specialized Research Fund for the Doctoral Program of Higher Education （Grant No. 200806990032）, the National Natural Science Foundation of China （Grant No. 10871157） and Keji Chuangxin Jijin of Northwestern Polytechnical University （Grant No. 2007KJ01012）. We thank Processor Pengcheng Niu for suggesting this problem and for providing many helpful discussions.

摘　　要：In this paper, by establishing the boundedness of singular integral operators with variable kernels and their commutators with BMO functions on Morrey spaces of homogeneous groups, we prove a local a prior estimate in Sobolev-Morrey space for solutions to the nondivergence parabolic equation with discontinuous coefficients.

关 键 词：Homogeneous group parabolic equation VMO singular integral commutator. 

分 类 号：O175.1[理学—数学] O241.82[理学—基础数学]