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The Stationary Navier-Stokes System in Nonsmooth Manifolds: The Poisson Problem in Lipschitz andC1Domains

✍ Scribed by Martin Dindoŝ; Marius Mitrea

Publisher
Springer
Year
2004
Tongue
English
Weight
349 KB
Volume
174
Category
Article
ISSN
0003-9527

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We continue a program to develop layer potential techniques for PDE on Lipschitz domains in Riemannian manifolds. Building on L p and Hardy space estimates established in previous papers, here we establish Sobolev and Besov space estimates on solutions to the Dirichlet and Neumann problems for the L