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math.AP2020
Sobolev spaces and -differential operators on manifolds I: basic properties and weighted spaces
Mirela Kohr, Victor Nistor
We study {\em -Sobolev spaces} and {\em -differential operators} with coefficients in general Hermitian vector bundles on Riemannian manifolds, stressing a coordina…
math.AP2020
Variational approach for layer potentials of the Stokes system with 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 -based weighted Sobolev spaces on Lipschitz bounded and exterior domains of , , f…