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Timeline for Helmholtz-Hodge decomposition

Current License: CC BY-SA 3.0

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Mar 5, 2017 at 19:05 comment added Math604 @almaz. Thanks a bunch for your comment. It really helps me.
Mar 5, 2017 at 18:30 comment added ABMath Look at the Theorem 1 in sciencedirect.com/science/article/pii/S0022123685710671 When the boundary is $C^1$ it says that your $\phi\in W^{1,p}$. The boundedness of another projection will follow by the triangle inequality.
Mar 5, 2017 at 14:19 comment added Math604 I think i managed to prove this result by first proving an interior regularity result and then on $B_2^+$ by using an odd reflection of $ \phi$ (say $ \psi$ and then $ \Delta \psi=div(G)$) where $G^i$ for $1 \le i \le N-1$ is the odd reflection of $F^i$ and then $G^N(x)= G(x', - x_N)$ for $ x_N<0$ ... does seem like a possible valid approach (I am more interested in whether the result is true as compared to whether by approach is correct) thanks
Mar 5, 2017 at 11:48 history asked Math604 CC BY-SA 3.0