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Results tagged with elliptic-pde
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user 98733
Questions about partial differential equations of elliptic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
4
votes
0
answers
181
views
Elliptic boundary value problem for vector valued forms
Let $U \subset R^n$ be a regular bounded domain having the topology of a ball. Then, the boundary value problem for $\omega\in \Omega^2(U)$,
$$
d\omega = 0
\qquad
\delta\omega = \sigma
\qquad
\mathfra …
- 797
5
votes
0
answers
108
views
On boundary-value problems for differential forms on a manifold
Let $M$ be a simply-connected $d$-dimensional Riemannian manifold with boundary (for simplicity assume a ball). Consider the boundary value problem for $\omega\in\Omega^k(M)$,
$$
d\omega = \alpha
\qqu …
- 797