Publication detail

Extensions from the Sobolev Spaces H1 satisfying prescribed Dirichlet boundary conditions

ŽENÍŠEK, A.

English title

Extensions from the Sobolev Spaces H1 satisfying prescribed Dirichlet boundary conditions

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original abstract

Extensions from $H^1(\Omega_P)$ into $H^1(\Omega)$ (where $\Omega_P\subset\Omega$) are constructed in such a way that extended functions satisfy prescribed boundary conditions on the boundary $\partial\Omega$ of $\Omega$. The corresponding extension operator is linear and bounded.

Keywords in English

extensions satisfying prescribed boundary conditions, Nikolskij extension theorem

Released

2004-01-01

ISSN

0862-7940

Journal

Applications of Mathematics

Volume

49

Number

5

Pages from–to

405–

Pages count

9

BIBTEX


@article{BUT45799,
  author="Alexander {Ženíšek}",
  title="Extensions from the Sobolev Spaces H1 satisfying prescribed Dirichlet boundary conditions",
  journal="Applications of Mathematics",
  year="2004",
  volume="49",
  number="5",
  pages="9",
  issn="0862-7940"
}