Extensions from the Sobolev spaces H 1 satisfying prescribed Dirichlet boundary conditions

Alexander Ženíšek

Applications of Mathematics (2004)

  • Volume: 49, Issue: 5, page 405-413
  • ISSN: 0862-7940

Abstract

top
Extensions from H 1 ( Ω P ) into H 1 ( Ω ) (where Ω P ⊂ Ω ) are constructed in such a way that extended functions satisfy prescribed boundary conditions on the boundary ∂ Ω of Ω . The corresponding extension operator is linear and bounded.

How to cite

top

Ženíšek, Alexander. "Extensions from the Sobolev spaces $H^1$ satisfying prescribed Dirichlet boundary conditions." Applications of Mathematics 49.5 (2004): 405-413. <http://eudml.org/doc/33192>.

@article{Ženíšek2004,
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.},
author = {Ženíšek, Alexander},
journal = {Applications of Mathematics},
keywords = {extensions satisfying prescribed boundary conditions; Nikolskij extension theorem; extensions satisfying prescribed boundary conditions; Nikolskij extension theorem},
language = {eng},
number = {5},
pages = {405-413},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Extensions from the Sobolev spaces $H^1$ satisfying prescribed Dirichlet boundary conditions},
url = {http://eudml.org/doc/33192},
volume = {49},
year = {2004},
}

TY - JOUR
AU - Ženíšek, Alexander
TI - Extensions from the Sobolev spaces $H^1$ satisfying prescribed Dirichlet boundary conditions
JO - Applications of Mathematics
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 5
SP - 405
EP - 413
AB - 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.
LA - eng
KW - extensions satisfying prescribed boundary conditions; Nikolskij extension theorem; extensions satisfying prescribed boundary conditions; Nikolskij extension theorem
UR - http://eudml.org/doc/33192
ER -

References

top
  1. Function Spaces, Academia, Prague, 1977. (1977) MR0482102
  2. Les Méthodes Directes en Théorie des Equations Elliptiques, Academia/Masson, Prague/Paris, 1967. (1967) MR0227584
  3. Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction, Elsevier, Amsterdam, 1981. (1981) MR0600655
  4. 10.1007/BF01390058, Numer. Math. 55 (1989), 343–376. (1989) MR0993476DOI10.1007/BF01390058
  5. Nonlinear Elliptic and Evolution Problems and their Finite Element Approximations, Academic Press, London, 1990. (1990) MR1086876
  6. 10.1023/B:APOM.0000024482.61562.2b, Appl. Math. 48 (2003), 367–404. (2003) Zbl1099.46022MR2008890DOI10.1023/B:APOM.0000024482.61562.2b
  7. 10.1051/m2an/1982160201611, RAIRO Anal. Numér. 16 (1982), 161–191. (1982) MR0661454DOI10.1051/m2an/1982160201611
  8. 10.1090/S0025-5718-1983-0717694-1, Math. Comput. 41 (1983), 425–440. (1983) MR0717694DOI10.1090/S0025-5718-1983-0717694-1

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.