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The first aim of this paper is to give different necessary and sufficient conditions that guarantee the density of the set of compactly supported functions into the Sobolev space of order one in infinite p-adic weighted trees. The second goal is to define properly a trace operator in this Sobolev space if it makes sense.
Nicaise, Serge 1 ; Semin, Adrien 1
@article{M2AN_2018__52_3_1023_0,
author = {Nicaise, Serge and Semin, Adrien},
title = {Density and trace results in generalized fractal networks},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {1023--1049},
publisher = {EDP-Sciences},
volume = {52},
number = {3},
year = {2018},
doi = {10.1051/m2an/2018021},
mrnumber = {3865557},
zbl = {1411.46031},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2018021/}
}
TY - JOUR AU - Nicaise, Serge AU - Semin, Adrien TI - Density and trace results in generalized fractal networks JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2018 SP - 1023 EP - 1049 VL - 52 IS - 3 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2018021/ DO - 10.1051/m2an/2018021 LA - en ID - M2AN_2018__52_3_1023_0 ER -
%0 Journal Article %A Nicaise, Serge %A Semin, Adrien %T Density and trace results in generalized fractal networks %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2018 %P 1023-1049 %V 52 %N 3 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2018021/ %R 10.1051/m2an/2018021 %G en %F M2AN_2018__52_3_1023_0
Nicaise, Serge; Semin, Adrien. Density and trace results in generalized fractal networks. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 52 (2018) no. 3, pp. 1023-1049. doi: 10.1051/m2an/2018021
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