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

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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

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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

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  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

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