Publication result detail

Extensions from the Sobolev Spaces H1 satisfying prescribed Dirichlet boundary conditions

ŽENÍŠEK, A.

Original Title

Extensions from the Sobolev Spaces H1 satisfying prescribed Dirichlet boundary conditions

English Title

Extensions from the Sobolev Spaces H1 satisfying prescribed Dirichlet boundary conditions

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

English 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

extensions satisfying prescribed boundary conditions, Nikolskij extension theorem

Key words in English

extensions satisfying prescribed boundary conditions, Nikolskij extension theorem

Authors

ŽENÍŠEK, A.

RIV year

2011

Released

01.01.2004

ISBN

0862-7940

Periodical

Applications of Mathematics

Volume

49

Number

5

State

Czech Republic

Pages from

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"
}