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Volume 23, Issue 1
Morrey Estimates for Nondivergence Parabolic Operators with Discontinuous Coefficients on Homogeneous Groups

Sufang Tang & Na Wei

DOI: 10.4208/jpde.v23.n1.1

J. Part. Diff. Eq., 23 (2010), pp. 1-15.

Published online: 2010-02

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  • 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.

  • Keywords

Homogeneous group parabolic equation VMO singular integral commutator

  • AMS Subject Headings

35R05 35K10 42B20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-23-1, author = {Sufang Tang and Na Wei }, 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} }
TY - JOUR T1 - Morrey Estimates for Nondivergence Parabolic Operators with Discontinuous Coefficients on Homogeneous Groups AU - Sufang Tang & Na Wei 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 -

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.

Sufang Tang and Na Wei . (2010). Morrey Estimates for Nondivergence Parabolic Operators with Discontinuous Coefficients on Homogeneous Groups. Journal of Partial Differential Equations. 23 (1). 1-15. doi:10.4208/jpde.v23.n1.1
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