On the stability of a forward-backward heat equation
Spectral Theory
2011-11-01 v1 Mathematical Physics
math.MP
Abstract
In this paper we examine spectral properties of a family of periodic singular Sturm-Liouville problems which are highly non-self-adjoint but have purely real spectrum. The problem originated from the study of the lubrication approximation of a viscous fluid film in the inner surface of a rotating cylinder and has received a substantial amount of attention in recent years. Our main focus will be the determination of Schatten class inclusions for the resolvent operator and regularity properties of the associated evolution equation.
Keywords
Cite
@article{arxiv.1110.6869,
title = {On the stability of a forward-backward heat equation},
author = {Lyonell Boulton and Marco Marletta and David Rule},
journal= {arXiv preprint arXiv:1110.6869},
year = {2011}
}
Comments
21 pages, 3 figures