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
Transference of local to global L-2 maximal estimates for dispersive partial differential equations
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 32019 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 471, no 1-2, p. 411-422Article in journal (Refereed) Published
Abstract [en]

In this paper we give an elementary proof for transference of local to global maximal estimates for dispersive PDEs. This is done by transferring local L-2 estimates for certain oscillatory integrals with rough phase functions, to the corresponding global estimates. The elementary feature of our approach is that it entirely avoids the use of the wave packet techniques which are quite common in this context, and instead is based on scalings and classical oscillatory integral estimates.

Place, publisher, year, edition, pages
2019. Vol. 471, no 1-2, p. 411-422
Keywords [en]
Oscillatory integrals, Maximal-function estimates, Dispersive equations, Schrodinger equation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-163819DOI: 10.1016/j.jmaa.2018.10.082ISI: 000452581100022OAI: oai:DiVA.org:su-163819DiVA, id: diva2:1277390
Available from: 2019-01-10 Created: 2019-01-10 Last updated: 2019-01-18Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Search in DiVA

By author/editor
Rodriguez-Lopez, Salvador
By organisation
Department of Mathematics
In the same journal
Journal of Mathematical Analysis and Applications
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 16 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