miun.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Complex vector fields and hypolleptic partial differential operators
Université du Luxembourg.
SUNY Stony Brook, New York.
Universitá Roma Tor Vergata.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
2010 (English)In: Annales de l'Institut Fourier, ISSN 0373-0956, E-ISSN 1777-5310, Vol. 60, no 3, 39 p.987-1034 p.Article in journal (Refereed) Published
Abstract [en]

We prove a subelliptic estimate for systems of complex vector fields under some assumptions that generalize the essential pseudoconcavity for CR manifolds, that was first introduced by two of the authors; and the Hormander's bracket condition for real vector fields. Applications are given to prove the hypoellipticity of first order systems and second order partial differential operators. Finally we describe a class of compact homogeneous CR manifolds for which the distribution of (0,1) vector fields satisfies a subelliptic estimate.

Place, publisher, year, edition, pages
2010. Vol. 60, no 3, 39 p.987-1034 p.
Keyword [en]
Complex distribution; subelliptic estimate; hypoellipticity; Levi form; CR manifold; pseudoconcavity; flag manifold
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-8078ISI: 000281235800007OAI: oai:DiVA.org:miun-8078DiVA: diva2:133132
Available from: 2009-01-07 Created: 2009-01-07 Last updated: 2017-08-15Bibliographically approved

Open Access in DiVA

No full text

Other links

Fri fulltext arXiv

Search in DiVA

By author/editor
Porten, Egmont
By organisation
Department of Natural Sciences, Engineering and Mathematics
In the same journal
Annales de l'Institut Fourier
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

Total: 106 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf