Mourre's method for a dissipative form perturbation

Julien Royer

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arXiv · 1411.7705

Mourre's method for a dissipative form perturbation

Julien Royer

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Abstract

We prove uniform resolvent estimates for an abstract operator given by a dissipative perturbation of a self-adjoint operator in the sense of forms. For this we adapt the commutators method of Mourre. We also obtain the limiting absorption principle and uniform estimates for the derivatives of the resolvent. This abstract work is motivated by the Schr{\"o}dinger and wave equations on a wave guide with dissipation at the boundary.

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BibTeX RIS

Julien Royer. 2014-11-27. Mourre's method for a dissipative form perturbation. https://arxiv.org/abs/1411.7705

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