Journal
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Volume 2015, Issue 17, Pages 8275-8288Publisher
OXFORD UNIV PRESS
DOI: 10.1093/imrn/rnu199
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Funding
- Agence Nationale de la Recherche (ANR) [ANR 2011 BS01019 01]
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We consider evolution equations generated by quadratic operators admitting a decomposition in creation-annihilation operators without usual ellipticity-type hypotheses; this class includes hypocoercive model operators. We identify the singular-value decomposition of their solution operators with the evolution generated by an operator of harmonic oscillator type, and in doing so derive exact characterizations of return to equilibrium and regularization for any complex time.
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