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Results tagged with reference-request
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user 54783
This tag is used if a reference is needed in a paper or textbook on a specific result.
1
vote
Elliptic regularity and inhomogeneous Neumann boundary condition
The present form of the question is very confusing. First of all, the boundary values are defined only for the flat part of the boundary. Secondly, even on the flat part, the condition given is not a …
- 317
4
votes
Elliptic regularity Schauder estimates with Dirichlet/Neumann boundary conditions
One needs to start with a 'energy-weak solutions', i.e. $u \in W^{1,2}$, in the general case, even for interior regularity. If $L$ is the Laplacian, you can use Weyl's lemma to first prove that $u \i …
- 317
12
votes
2
answers
1k
views
Regularity of Hodge Laplacian on bounded domains
I need a reference for the $W^{s,p}$ regularity of the Hodge boundary value problem on bounded domains. I need estimates $\lVert \omega \rVert_{W^{s+2,p}} \leq c\lVert f\rVert_{W^{s,p}}$, $s\geq 0$ fo …
- 317