Local W^{1,p}-regularity estimates for weak solutions of parabolic equations with singular divergence-free drifts
| dc.contributor.author | Phan, Tuoc | |
| dc.date.accessioned | 2022-04-04T20:37:40Z | |
| dc.date.available | 2022-04-04T20:37:40Z | |
| dc.date.issued | 2017-03-20 | |
| dc.description.abstract | We 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Phan, T. (2017). Local W^{1,p}-regularity estimates for weak solutions of parabolic equations with singular divergence-free drifts. <i>Electronic Journal of Differential Equations, 2017</i>(75), pp. 1-22. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15602 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Weighted Sobolev estimates | |
| dc.subject | Divergence-free drifts | |
| dc.subject | Muckenhoupt weights | |
| dc.subject | Hardy-Littlewood maximal functions | |
| dc.title | Local W^{1,p}-regularity estimates for weak solutions of parabolic equations with singular divergence-free drifts | |
| dc.type | Article |