Geodesic
Solvability of a first order system in three-dimensional non-smooth domains
Applications of Mathematics, Tome 30 (1985) no. 4, pp. 307-315.

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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.
DOI : 10.21136/AM.1985.104154
Classification : 35Q99, 65N10, 76A02, 78A30
Keywords: Friedrich’s inequality; boundary value problem; magnetostatics in vacuum; bounded domain with Lipschitz boundary; Trace theorems 
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     title = {Solvability of a first order system in three-dimensional non-smooth domains},
     journal = {Applications of Mathematics},
     pages = {307--315},
     publisher = {mathdoc},
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Křížek, Michal; Neittaanmäki, Pekka. Solvability of a first order system in three-dimensional non-smooth domains. Applications of Mathematics, Tome 30 (1985) no. 4, pp. 307-315. doi : 10.21136/AM.1985.104154. http://geodesic.mathdoc.fr/articles/10.21136/AM.1985.104154/

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