English

Reverse norms and L infinity exponential decay for a class of degenerate evolution systems arising in kinetic theory

Analysis of PDEs 2017-01-18 v1

Abstract

We consider the question of exponential decay to equilibrium of solutions of an abstract class of degenerate evolution equations on a Hilbert space modeling the steady Boltzmann and other kinetic equations. Specifically, we provide conditions suitable for construction of a stable manifold in a particular "reverse L infinity norm" and examine when these do and do not hold.

Keywords

Cite

@article{arxiv.1701.04443,
  title  = {Reverse norms and L infinity exponential decay for a class of degenerate evolution systems arising in kinetic theory},
  author = {Alin Pogan and Kevin Zumbrun},
  journal= {arXiv preprint arXiv:1701.04443},
  year   = {2017}
}