Variational approach for layer potentials of the Stokes system with $L_{\infty }$ symmetrically elliptic coefficient tensor and applications to Stokes and Navier-Stokes boundary problems

Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland

The first aim of this paper is to develop a layer potential theory in $L_2$-based weighted Sobolev spaces on Lipschitz bounded and exterior domains of ${\mathbb{R}}^n$, $n\ge 3$, f…