Establishes well-posedness and regularity for singular-degenerate parabolic and elliptic systems with conormal boundary conditions in weighted Sobolev spaces, extending scalar cases to systems with measurable leading coefficients having small mean oscillations.
Caffarelli, Jean-Michel Roquejoffre, and Yannick Sire,Variational problems for free bound- aries for the fractional Laplacian, J
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Singular-degenerate parabolic systems with the conormal boundary condition on the upper half space
Establishes well-posedness and regularity for singular-degenerate parabolic and elliptic systems with conormal boundary conditions in weighted Sobolev spaces, extending scalar cases to systems with measurable leading coefficients having small mean oscillations.