Abstract
We prove Sobolev interpolation inequalities for the Stokes operator, giving sharp $L^{\infty}$ estimates for solenoidal vector fields in $\mathbb{R}^2$ and $\mathbb{R}^3$. We use fundamental solutions of a generalized Stokes system in the proofs.
Citation
Wenzheng Xie. "Sharp Sobolev interpolation inequalities for the Stokes operator." Differential Integral Equations 10 (2) 393 - 399, 1997. https://doi.org/10.57262/die/1367526345
Information
