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dc.contributor.authorPhan, Tuoc ( )
dc.date.accessioned2022-04-04T20:37:40Z
dc.date.available2022-04-04T20:37:40Z
dc.date.issued2017-03-20
dc.identifier.citationPhan, T. (2017). Local W^{1,p}-regularity estimates for weak solutions of parabolic equations with singular divergence-free drifts. Electronic Journal of Differential Equations, 2017(75), pp. 1-22.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/15602
dc.description.abstractWe study weighted Sobolev regularity of weak solutions of non-homogeneous parabolic equations with singular divergence-free drifts. Assuming that the drifts satisfy some mild regularity conditions, we establish local weighted Lp-estimates for the gradients of weak solutions. Our results improve the classical one to the borderline case by replacing the L-assumption on solutions by solutions in the John-Nirenberg BMO space. The results are also generalized to parabolic equations in divergence form with small oscillation elliptic symmetric coefficients and therefore improve many known results.en_US
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectWeighted Sobolev estimatesen_US
dc.subjectDivergence-free driftsen_US
dc.subjectMuckenhoupt weightsen_US
dc.subjectHardy-Littlewood maximal functionsen_US
dc.titleLocal W^{1,p}-regularity estimates for weak solutions of parabolic equations with singular divergence-free driftsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.holderCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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