Local W^{1,p}-regularity estimates for weak solutions of parabolic equations with singular divergence-free drifts

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 $L^p$-estimates for the gradients of weak solutions. Our results imp...

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Bibliographic Details
Main Author: Tuoc Phan
Format: Article
Language:English
Published: Texas State University 2017-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/75/abstr.html

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