English

Resonances as viscosity limits for black box perturbations

Mathematical Physics 2022-03-09 v1 math.MP Spectral Theory

Abstract

We show that the complex absorbing potential (CAP) method for computing scattering resonances applies to an abstractly defined class of black box perturbations of the Laplacian in Rn\mathbb{R}^n which can be analytically extended from Rn\mathbb{R}^n to a conic neighborhood in Cn\mathbb{C}^n near infinity. The black box setting allows a unifying treatment of diverse problems ranging from obstacle scattering to scattering on finite volume surfaces.

Keywords

Cite

@article{arxiv.2102.10232,
  title  = {Resonances as viscosity limits for black box perturbations},
  author = {Haoren Xiong},
  journal= {arXiv preprint arXiv:2102.10232},
  year   = {2022}
}
R2 v1 2026-06-23T23:20:49.293Z