• Corpus ID: 239009546

Low frequency asymptotics and local energy decay for the Schr{\"o}dinger equation

@inproceedings{Royer2021LowFA,
  title={Low frequency asymptotics and local energy decay for the Schr\{\"o\}dinger equation},
  author={Julien Royer},
  year={2021}
}
  • J. Royer
  • Published 15 October 2021
  • Mathematics, Physics
Abstract. We prove low frequency resolvent estimates and local energy decay for the Schrödinger equation in an asymptotically Euclidean setting. More precisely, we go beyond the optimal estimates by comparing the resolvent of the perturbed Schrödinger operator with the resolvent of the free Laplacian. This gives the leading term for the developpement of this resolvent when the spectral parameter is close to 0. For this, we show in particular how we can apply the usual commutators method for… 

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