Singular-Value Decomposition of Solution Operators to Model Evolution Equations
Författare
Summary, in English
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.
Avdelning/ar
Publiceringsår
2015
Språk
Engelska
Sidor
8275-8288
Publikation/Tidskrift/Serie
International Mathematics Research Notices
Issue
17
Dokumenttyp
Artikel i tidskrift
Förlag
Oxford University Press
Ämne
- Mathematical Analysis
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1073-7928