Publication 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

Type

journal article - other

Language

English

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

extensions satisfying prescribed boundary conditions, Nikolskij extension theorem

Authors

ŽENÍŠEK, A.

Released

1. 1. 2004

ISBN

0862-7940

Periodical

APPLICATIONS OF MATHEMATICS

Year of study

49

Number

5

State

Czech Republic

Pages from

405

Pages to

413

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"
}