@Article{JPDE-23-1, author = {}, title = {Morrey Estimates for Nondivergence Parabolic Operators with Discontinuous Coefficients on Homogeneous Groups}, journal = {Journal of Partial Differential Equations}, year = {2010}, volume = {23}, number = {1}, pages = {1--15}, abstract = {

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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v23.n1.1}, url = {http://global-sci.org/intro/article_detail/jpde/5219.html} }