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4 votes
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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 \...
Raz Kupferman's user avatar
1 vote
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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 ...
SMS's user avatar
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