Weyl formulae for the Robin Laplacian in the semiclassical limit
Confluentes Mathematici, Volume 8 (2016) no. 2, pp. 39-57.

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.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/cml.32
Classification: 35P15, 35P20
Keywords: Robin Laplacian, Born-Oppenheimer approximation, Weyl formulae
Kachmar, Ayman 1; Keraval, Pierig 2; Raymond, Nicolas 2

1 Lebanese University, Department of Mathematics, Hadath, Lebanon.
2 IRMAR, Université de Rennes 1, Campus de Beaulieu, F-35042 Rennes cedex, France
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Kachmar, Ayman; Keraval, Pierig; Raymond, Nicolas. 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. http://www.numdam.org/articles/10.5802/cml.32/

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