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Q: Elliptic boundary value problem for vector valued forms

Raz KupfermanLet $U \subset R^n$ be a regular bounded domain having the topology of a ball. Then, the boundary value problem for $\omega\in \Omega^2(U)$, $$ d\omega = 0 \qquad \delta\omega = \sigma \qquad \mathfrak{t}(\omega) = 0 $$ is solvable provided that $\delta\sigma=0$; here $\mathfrak{t}(\omega)$ is th...

 

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