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...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.展开更多
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.
文摘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.
