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- W2041933433 abstract "We study the Lp regularity problem for the stationary Stokes system on Lipschitz domains. For any p>2 we show that a weak reverse Hölder inequality with exponent p is both necessary and sufficient for the solvability of the regularity problem with data in W1,p(∂Ω)∩Lnp(∂Ω). We also obtain the W1,p(Ω) estimate ‖∇u‖Lp(Ω)+‖q‖Lp(Ω)≤‖f‖Lp(Ω) in a bounded Lipschitz domain Ω⊂Rd for solutions to the Dirichlet problem Δu=∇q+div(f), div(u)=0 in Ω and u=0 on ∂Ω, where |1p−12|<12d+ε." @default.
- W2041933433 created "2016-06-24" @default.
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- W2041933433 date "2015-08-01" @default.
- W2041933433 modified "2023-10-16" @default.
- W2041933433 title "The <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math> regularity problem for the Stokes system on Lipschitz domains" @default.
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- W2041933433 doi "https://doi.org/10.1016/j.jde.2015.02.041" @default.
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