<div class="csl-bib-body">
<div class="csl-entry">Nigsch, E., Achleitner, F., Arnold, A., & Mehrmann, V. (2023). Hypocoercivity in Hilbert Spaces. In <i>ÖMG-Tagung 2023 : Book of Abstracts</i> (pp. 75–75).</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/189018
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dc.description.abstract
The concept of hypocoercivity for linear evolution equations with dissipation is discussed and
equivalent characterizations that were developed for the finite-dimensional case are extended
to separable Hilbert spaces. Using the concept of a hypocoercivity index, quantitative estimates on the short-time and long-time decay behavior of a hypocoercive system are derived. As a useful tool for analyzing the structural properties, an infinite-dimensional staircase form is also derived. The results are applied to the Lorentz kinetic equation.
