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
Square function estimates and the Kato problem for second order parabolic operators in Rn+1
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
2016 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 293, 1-36 p.Article in journal (Refereed) Published
Abstract [en]

In [4] the Kato square root problem for second order complex uniformly elliptic operators of the form L = -div(A del f), with only bounded and measurable coefficients, was solved. The solution is a consequence of a square function estimate for the operator (1 + lambda L-2)(-1)lambda L. This and related square function estimates have recently spurred a wave of new and ground breaking results in the area of elliptic PDEs. In this paper we establish similar square function estimates for second order parabolic operators in Rn+1 of the form at partial derivative(t) + L paving the way for important developments in the area of parabolic PDEs.

Place, publisher, year, edition, pages
2016. Vol. 293, 1-36 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-263917DOI: 10.1016/j.aim.2016.02.006ISI: 000373093200001OAI: oai:DiVA.org:uu-263917DiVA: diva2:858720
Available from: 2015-10-04 Created: 2015-10-04 Last updated: 2017-12-01Bibliographically approved

Open Access in DiVA

fulltext(259 kB)159 downloads
File information
File name FULLTEXT04.pdfFile size 259 kBChecksum SHA-512
719890e2ac0fe4faeacc9ad1f7596dcd49c5cdffb1f3ba51a9fca3353d5167b497c7b4d4ee603b064b2427d14a8a50908378269c39eb130b89824d1c9808204e
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Nyström, Kaj
By organisation
Analysis and Probability Theory
In the same journal
Advances in Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 208 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 1001 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