arXiv Open Access 2014

Mourre's method for a dissipative form perturbation

Julien Royer

Lihat Sumber

Abstrak

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{ö}dinger and wave equations on a wave guide with dissipation at the boundary.

Topik & Kata Kunci

math.SP math-ph math.AP

Penulis (1)

Julien Royer

Format Sitasi

APA MLA BibTeX

Royer, J. (2014). Mourre's method for a dissipative form perturbation. https://arxiv.org/abs/1411.7705

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2014
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓