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arXiv · 1612.06916

L infinity resolvent bounds for steady Boltzmann's equation

Kevin Zumbrun
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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 $1<p \leq \infty$, resolving an apparent discrepancy in behavior between the two settings suggested by previous work.

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Kevin Zumbrun. 2016-12-20. L infinity resolvent bounds for steady Boltzmann's equation. https://arxiv.org/abs/1612.06916

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