This paper is devoted to establish semiclassical Weyl formulae for the Robin Laplacian on smooth domains in any dimension. Theirs proofs are reminiscent of the Born-Oppenheimer method.
Revised:
Accepted:
Published online:
Keywords: Robin Laplacian, Born-Oppenheimer approximation, Weyl formulae
Ayman Kachmar 1; Pierig Keraval 2; Nicolas Raymond 2
@article{CML_2016__8_2_39_0,
author = {Ayman Kachmar and Pierig Keraval and Nicolas Raymond},
title = {Weyl formulae for the {Robin} {Laplacian} in the semiclassical limit},
journal = {Confluentes Mathematici},
pages = {39--57},
publisher = {Institut Camille Jordan},
volume = {8},
number = {2},
year = {2016},
doi = {10.5802/cml.32},
language = {en},
url = {https://cml.centre-mersenne.org/articles/10.5802/cml.32/}
}
TY - JOUR AU - Ayman Kachmar AU - Pierig Keraval AU - Nicolas Raymond TI - Weyl formulae for the Robin Laplacian in the semiclassical limit JO - Confluentes Mathematici PY - 2016 SP - 39 EP - 57 VL - 8 IS - 2 PB - Institut Camille Jordan UR - https://cml.centre-mersenne.org/articles/10.5802/cml.32/ DO - 10.5802/cml.32 LA - en ID - CML_2016__8_2_39_0 ER -
%0 Journal Article %A Ayman Kachmar %A Pierig Keraval %A Nicolas Raymond %T Weyl formulae for the Robin Laplacian in the semiclassical limit %J Confluentes Mathematici %D 2016 %P 39-57 %V 8 %N 2 %I Institut Camille Jordan %U https://cml.centre-mersenne.org/articles/10.5802/cml.32/ %R 10.5802/cml.32 %G en %F CML_2016__8_2_39_0
Ayman Kachmar; Pierig Keraval; Nicolas Raymond. Weyl formulae for the Robin Laplacian in the semiclassical limit. Confluentes Mathematici, Volume 8 (2016) no. 2, pp. 39-57. doi : 10.5802/cml.32. https://cml.centre-mersenne.org/articles/10.5802/cml.32/
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