%0 Book Section %1 Kohr2019 %A Kohr, Mirela %A Mikhailov, Sergey E. %A Wendland, Wolfgang L. %B Analysis as a Life: Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday %C Cham %D 2019 %E Rogosin, Sergei %E Celebi, Ahmet Okay %I Springer International Publishing %K from:sylviazur ians imported vorlaeufig %P 237--260 %R 10.1007/978-3-030-02650-9_12 %T Newtonian and Single Layer Potentials for the Stokes System with L∞ Coefficients and the Exterior Dirichlet Problem %U https://doi.org/10.1007/978-3-030-02650-9_12 %X A mixed variational formulation of some problems in L2-based Sobolev spaces is used to define the Newtonian and layer potentials for the Stokes system with L∞ coefficients on Lipschitz domains in ℝ3\$\$\\backslashmathbb R\^3\$\$. Then the solution of the exterior Dirichlet problem for the Stokes system with L∞ coefficients is presented in terms of these potentials and the inverse of the corresponding single layer operator. %@ 978-3-030-02650-9

@inbook{Kohr2019, abstract = {A mixed variational formulation of some problems in L2-based Sobolev spaces is used to define the Newtonian and layer potentials for the Stokes system with L∞ coefficients on Lipschitz domains in ℝ3{\$}{\$}{\{}{\backslash}mathbb R{\}}^3{\$}{\$}. Then the solution of the exterior Dirichlet problem for the Stokes system with L∞ coefficients is presented in terms of these potentials and the inverse of the corresponding single layer operator.}, added-at = {2019-12-06T10:35:35.000+0100}, address = {Cham}, author = {Kohr, Mirela and Mikhailov, Sergey E. and Wendland, Wolfgang L.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2bca31142ddd829fe5d61e552579c570c/mathematik}, booktitle = {Analysis as a Life: Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday }, doi = {10.1007/978-3-030-02650-9_12}, editor = {Rogosin, Sergei and {\c{C}}elebi, Ahmet Okay}, interhash = {e9693b9ad814064e4b4e2f8301cc168a}, intrahash = {bca31142ddd829fe5d61e552579c570c}, isbn = {978-3-030-02650-9}, keywords = {from:sylviazur ians imported vorlaeufig}, pages = {237--260}, publisher = {Springer International Publishing}, timestamp = {2019-12-18T14:37:55.000+0100}, title = {Newtonian and Single Layer Potentials for the Stokes System with L∞ Coefficients and the Exterior Dirichlet Problem}, url = {https://doi.org/10.1007/978-3-030-02650-9_12}, year = 2019 }