Singular-Value Decomposition of Solution Operators to Model Evolution Equations
(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:
https://lup.lub.lu.se/record/8201709
- author
- Aleman, Alexandru LU and Viola, Joe
- organization
- publishing date
- 2015
- 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
- 2016-04-01 10:40:22
- date last changed
- 2022-03-12 07:59:43
@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}}, doi = {{10.1093/imrn/rnu199}}, year = {{2015}}, }