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Tagged with hodge-theory elliptic-pde
2 questions with no upvoted or accepted answers
4
votes
0
answers
182
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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
\...
1
vote
0
answers
69
views
Unique continuation of Laplace eigenforms
Let $M$ be a compact Riemannian manifold and $\Delta = d\delta + \delta d$ denote the (positive definite) Hodge Laplacian acting on differential forms. Call a smooth differential form $\omega$ a ...