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Solvability of a first order system in three-dimensional non-smooth domains

1985

summary:A system of first order partial differential equations is studied which is defined by the divergence and rotation operators in a bounded nonsmooth domain $\Omega\subset \bold R^3$. On the boundary $\delta\Omega$, the vanishing normal component is prescribed. A variational formulation is given and its solvability is investigated.

magnetostatics in vacuum [keyword]msc:65N10Friedrich’s inequality [keyword]bounded domain with Lipschitz boundary [keyword]msc:78A30boundary value problem [keyword]msc:76A02Trace theorems [keyword]msc:35Q99
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