| Abstract: |
| The index of hypocoercivity is defined via a coercivity-type estimate for the self-adjoint/skew-adjoint parts of the generator, and it quantifies `how degenerate` a hypocoercive evolution equation is, both for ODEs and for evolutions equations in a Hilbert space. We show that this index characterizes the polynomial decay of the propagator norm for short time and illustrate these concepts for the Lorentz kinetic equation on a torus.
This talk is based on joint work with F. Achleitner, E. Carlen, E. Nigsch, and V. Mehrmann. |
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