TY - JOUR
T1 - Morrey Estimates for Nondivergence Parabolic Operators with Discontinuous Coefficients on Homogeneous Groups
JO - Journal of Partial Differential Equations
VL - 1
SP - 1
EP - 15
PY - 2010
DA - 2010/02
SN - 23
DO - http://doi.org/10.4208/jpde.v23.n1.1
UR - https://global-sci.org/intro/article_detail/jpde/5219.html
KW - Homogeneous group
KW - parabolic equation
KW - VMO
KW - singular integral
KW - commutator
AB - <p>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.</p>