6533b88afe1ef96bd12e0cef
RESEARCH PRODUCT
Solvability of a first order system in three-dimensional non-smooth domains
Křížek, MichalNeittaanmäki, Pekkasubject
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:35Q99description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1985-01-01 |