English

Ground states for Maxwell's equations in nonlocal nonlinear media

Analysis of PDEs 2021-10-25 v2

Abstract

In this paper we investigate the existence of ground states and dual ground states for Maxwell's Equations in R3\mathbb{R}^3 in nonlocal nonlinear metamaterials. We prove that several nonlocal models admit ground states in contrast to their local analogues.

Keywords

Cite

@article{arxiv.2110.04006,
  title  = {Ground states for Maxwell's equations in nonlocal nonlinear media},
  author = {Rainer Mandel},
  journal= {arXiv preprint arXiv:2110.04006},
  year   = {2021}
}