English

Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions

Analysis of PDEs 2018-07-19 v1 Probability

Abstract

We analyze nonlinear Schr\"odinger and wave equations whose linear part is given by the renormalized Anderson Hamiltonian in two and three dimensional periodic domains.

Keywords

Cite

@article{arxiv.1807.06825,
  title  = {Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions},
  author = {Massimiliano Gubinelli and Baris Evren Ugurcan and Immanuel Zachhuber},
  journal= {arXiv preprint arXiv:1807.06825},
  year   = {2018}
}