A note on pointwise convergence for the Schrödinger equation. (6th November 2017)
- Record Type:
- Journal Article
- Title:
- A note on pointwise convergence for the Schrödinger equation. (6th November 2017)
- Main Title:
- A note on pointwise convergence for the Schrödinger equation
- Authors:
- LUCÀ, RENATO
ROGERS, KEITH M. - Abstract:
- Abstract: We consider Carleson's problem regarding pointwise convergence for the Schrödinger equation. Bourgain proved that there is initial data, in H s (ℝ n ) with $s<\frac{n}{2(n+1)}$, for which the solution diverges on a set of nonzero Lebesgue measure. We provide a different example enabling the generalisation to fractional Hausdorff measure.
- Is Part Of:
- Mathematical proceedings of the Cambridge Philosophical Society. Volume 166:Part 2(2019)
- Journal:
- Mathematical proceedings of the Cambridge Philosophical Society
- Issue:
- Volume 166:Part 2(2019)
- Issue Display:
- Volume 166, Issue 2, Part 2 (2019)
- Year:
- 2019
- Volume:
- 166
- Issue:
- 2
- Part:
- 2
- Issue Sort Value:
- 2019-0166-0002-0002
- Page Start:
- 209
- Page End:
- 218
- Publication Date:
- 2017-11-06
- Subjects:
- Mathematics -- Periodicals
510.5 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PSP ↗
- DOI:
- 10.1017/S0305004117000743 ↗
- Languages:
- English
- ISSNs:
- 0305-0041
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 9568.xml