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

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