We study the Robin Laplacian in a domain with two corners of the same opening, and we calculate the asymptotics of the two lowest eigenvalues as the distance between the corners increases to infinity.
Publié le : 2015-07-04
Classification:
[MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP],
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-00980575,
author = {Helffer, Bernard and Pankrashkin, Konstantin},
title = {Tunneling between corners for Robin Laplacians},
journal = {HAL},
volume = {2015},
number = {0},
year = {2015},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00980575}
}
Helffer, Bernard; Pankrashkin, Konstantin. Tunneling between corners for Robin Laplacians. HAL, Tome 2015 (2015) no. 0, . http://gdmltest.u-ga.fr/item/hal-00980575/