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Results tagged with reference-request
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user 109533
This tag is used if a reference is needed in a paper or textbook on a specific result.
4
votes
0
answers
112
views
How can I numerically solve the Laplace equation with cohomological data?
Consider the problem of solving for $u$ where $-\Delta u = f$, $[u] = [g]$ where $[\cdot]$ denotes cohomology class and $u, f, g$ are $p$-forms on a Riemannian manifold $M$. If $g$ instead was boundar …
- 708
3
votes
Accepted
Is there a name for the space of gradients?
The space in question is not complete: take a function $f$ whose derivative is in $L^2$ but is discontinuous, and consider a sequence of smooth functions converging to it in the Sobolev space $W^{1, 2 …
- 708
4
votes
0
answers
93
views
Techniques to estimate PDE which are elliptic in some directions and degenerate in others
I am interested in a family of PDE which have defeated my (admittedly rather naive) attempts to prove any regularity or stability estimates. These are systems of PDE which are elliptic in some directi …
- 708