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Singular-Value Decomposition of Solution Operators to Model Evolution Equations

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Author

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.

Publishing year

2015

Language

English

Pages

8275-8288

Publication/Series

International Mathematics Research Notices

Issue

17

Document type

Journal article

Publisher

Oxford University Press

Topic

  • Mathematical Analysis

Status

Published

ISBN/ISSN/Other

  • ISSN: 1073-7928