The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations
Analysis of PDEs
2018-04-25 v2
Abstract
We prove an -version of the limiting absoprtion principle for a class of periodic elliptic differential operators of second order. The result is applied to the construction of nontrivial solutions of nonlinear Helmholtz equations with periodic coefficient functions.
Keywords
Cite
@article{arxiv.1710.06332,
title = {The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations},
author = {Rainer Mandel},
journal= {arXiv preprint arXiv:1710.06332},
year = {2018}
}