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

2017/01/16 by Alin Pogan, Pogan, Alin, Kevin Zumbrun +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1701.04443

arxiv created 2017/01/16 · arxiv updated 2017/01/18

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.

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