The $L^p$ Dirichlet problem for the Stokes system on Lipschitz domains
نویسندگان
چکیده
منابع مشابه
The L Dirichlet Problem for the Stokes System on Lipschitz Domains
We study the Lp Dirichlet problem for the Stokes system on Lipschitz domains. For any fixed p > 2, we show that a reverse Hölder condition with exponent p is sufficient for the solvability of the Dirichlet problem with boundary data in LpN (∂Ω, R d). Then we obtain a much simpler condition which implies the reverse Hölder condition. Finally, we establish the solvability of the Lp Dirichlet prob...
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We study the homogeneous elliptic systems of order 2l with real constant coefficients on Lipschitz domains in R, n ≥ 4. For any fixed p > 2, we show that a reverse Hölder condition with exponent p is necessary and sufficient for the solvability of the Dirichlet problem with boundary data in L. We also obtain a simple sufficient condition. As a consequence, we establish the solvability of the L ...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2009
ISSN: 0022-2518
DOI: 10.1512/iumj.2009.58.3568