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On Critical Spaces for the Navier–Stokes Equations

Prüss, Jan ; Wilke, Mathias


The abstract theory of critical spaces developed in pruss and Wilke (J Evol Equ, 2017. doi:10.1007/ s00028-017-0382-6), Pruss et al. (Critical spaces for quasilinear parabolic evolution equations and applications, 2017) is applied to the Navier-Stokes equations in bounded domains with Navier boundary conditions as well as no-slip conditions. Our approach unifies, simplifies and extends existing ...


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