Geodesic
Weyl formulae for the Robin Laplacian in the semiclassical limit
Kachmar, Ayman1 ; Keraval, Pierig2 ; Raymond, Nicolas2
1 Lebanese University, Department of Mathematics, Hadath, Lebanon.
2 IRMAR, Université de Rennes 1, Campus de Beaulieu, F-35042 Rennes cedex, France
Confluentes Mathematici, Tome 8 (2016) no. 2, pp. 39-57.

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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.

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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, Tome 8 (2016) no. 2, pp. 39-57. doi : 10.5802/cml.32. http://geodesic.mathdoc.fr/articles/10.5802/cml.32/

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