Perron-Frobenius operators and the Klein-Gordon equation
Dynamical Systems
2013-12-17 v1 Analysis of PDEs
Functional Analysis
Abstract
We study the non-uniqueness sets for solutions to the Klein-Gordon equation in 1 space dimension, for solutions whose Fourier transform is a finite complex measure absolutely continuous with respect to arc length. We show that generally, in the non-unique case for lattice-crosses, the space of solutions that vanish there is infinite-dimensional.
Keywords
Cite
@article{arxiv.1201.0378,
title = {Perron-Frobenius operators and the Klein-Gordon equation},
author = {Francisco Canto-Martin and Haakan Hedenmalm and Alfonso Montes-Rodriguez},
journal= {arXiv preprint arXiv:1201.0378},
year = {2013}
}
Comments
27 pages