CONFLUENTES MATHEMATICI

On the Limiting absorption principle for a new class of Schrödinger Hamiltonians
Confluentes Mathematici, Tome 10 (2018) no. 1, pp. 63-94.

We prove the limiting absorption principle and discuss the continuity properties of the boundary values of the resolvent for a class of form bounded perturbations of the Euclidean Laplacian $\Delta$ that covers both short and long range potentials with an essentially optimal behaviour at infinity. For this, we give an extension of Nakamura’s results (see [16]).

Reçu le : 2017-10-20
Révisé le : 2017-11-19
Accepté le : 2017-11-19
Publié le : 2018-09-10
DOI : https://doi.org/10.5802/cml.46
Classification : 35J10,  35P25,  35Q40,  35S05,  47B15,  47B25,  47F05
Mots clés: Schrödinger operators, Mourre theory, Limiting Absorption Principle
@article{CML_2018__10_1_63_0,
author = {Alexandre Martin},
title = {On the Limiting absorption principle for a new class of Schr\"odinger Hamiltonians},
journal = {Confluentes Mathematici},
publisher = {Institut Camille Jordan},
volume = {10},
number = {1},
year = {2018},
pages = {63-94},
doi = {10.5802/cml.46},
language = {en},
url = {cml.centre-mersenne.org/item/CML_2018__10_1_63_0/}
}
Martin, Alexandre. On the Limiting absorption principle for a new class of Schrödinger Hamiltonians. Confluentes Mathematici, Tome 10 (2018) no. 1, pp. 63-94. doi : 10.5802/cml.46. https://cml.centre-mersenne.org/item/CML_2018__10_1_63_0/

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