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

Michal Křížek; Pekka Neittaanmäki

Aplikace matematiky (1985)

  • Volume: 30, Issue: 4, page 307-315
  • ISSN: 0862-7940

Abstract

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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 Ω 𝐑 3 . On the boundary δ Ω , the vanishing normal component is prescribed. A variational formulation is given and its solvability is investigated.

How to cite

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Křížek, Michal, and Neittaanmäki, Pekka. "Solvability of a first order system in three-dimensional non-smooth domains." Aplikace matematiky 30.4 (1985): 307-315. <http://eudml.org/doc/15409>.

@article{Křížek1985,
abstract = {A system of first order partial differential equations is studied which is defined by the divergence and rotation operators in a bounded nonsmooth domain $\Omega \subset \mathbf \{R\}^3$. On the boundary $\delta \Omega $, the vanishing normal component is prescribed. A variational formulation is given and its solvability is investigated.},
author = {Křížek, Michal, Neittaanmäki, Pekka},
journal = {Aplikace matematiky},
keywords = {Friedrich’s inequality; boundary value problem; magnetostatics in vacuum; bounded domain with Lipschitz boundary; Trace theorems; Friedrich's inequality; boundary value problem; magnetostatics in vacuum; bounded domain with Lipschitz boundary; Trace theorems},
language = {eng},
number = {4},
pages = {307-315},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Solvability of a first order system in three-dimensional non-smooth domains},
url = {http://eudml.org/doc/15409},
volume = {30},
year = {1985},
}

TY - JOUR
AU - Křížek, Michal
AU - Neittaanmäki, Pekka
TI - Solvability of a first order system in three-dimensional non-smooth domains
JO - Aplikace matematiky
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 4
SP - 307
EP - 315
AB - A system of first order partial differential equations is studied which is defined by the divergence and rotation operators in a bounded nonsmooth domain $\Omega \subset \mathbf {R}^3$. On the boundary $\delta \Omega $, the vanishing normal component is prescribed. A variational formulation is given and its solvability is investigated.
LA - eng
KW - Friedrich’s inequality; boundary value problem; magnetostatics in vacuum; bounded domain with Lipschitz boundary; Trace theorems; Friedrich's inequality; boundary value problem; magnetostatics in vacuum; bounded domain with Lipschitz boundary; Trace theorems
UR - http://eudml.org/doc/15409
ER -

References

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