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Singular-Value Decomposition of Solution Operators to Model Evolution Equations

Aleman, Alexandru LU and Viola, Joe (2015) In International Mathematics Research Notices p.8275-8288
Abstract
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
International Mathematics Research Notices
issue
17
pages
8275 - 8288
publisher
Oxford University Press
external identifiers
  • wos:000363065100022
  • scopus:84943562459
ISSN
1073-7928
DOI
10.1093/imrn/rnu199
language
English
LU publication?
yes
id
9d13e9ad-2e84-493a-9970-744c480bcc51 (old id 8201709)
date added to LUP
2015-11-26 13:00:15
date last changed
2017-09-10 03:18:46
@article{9d13e9ad-2e84-493a-9970-744c480bcc51,
  abstract     = {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.},
  author       = {Aleman, Alexandru and Viola, Joe},
  issn         = {1073-7928},
  language     = {eng},
  number       = {17},
  pages        = {8275--8288},
  publisher    = {Oxford University Press},
  series       = {International Mathematics Research Notices},
  title        = {Singular-Value Decomposition of Solution Operators to Model Evolution Equations},
  url          = {http://dx.doi.org/10.1093/imrn/rnu199},
  year         = {2015},
}