L infinity resolvent bounds for steady Boltzmann's equation
Analysis of PDEs
2016-12-22 v1
Abstract
We derive lower bounds on the resolvent operator for the linearized steady Boltzmann equation over weighted L1 Banach spaces in velocity, comparable to those derived by Pogan & Zumbrun in an analogous weighted L2 Hilbert space setting. These show in particular that the operator norm of the resolvent kernel is unbounded in Lp(R) for all , resolving an apparent discrepancy in behavior between the two settings suggested by previous work.
Cite
@article{arxiv.1612.06916,
title = {L infinity resolvent bounds for steady Boltzmann's equation},
author = {Kevin Zumbrun},
journal= {arXiv preprint arXiv:1612.06916},
year = {2016}
}