Counterexamples to Strichartz estimates for the kinetic transport equation based on Besicovitch sets
We show that the Strichartz estimates for the kinetic transport equation containingLx∞-norms in the spatial variables x fail on the characteristic functions of Besicovitch sets.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
1 April 2011
|
| In: |
Nonlinear analysis. Theory, methods & applications
Year: 2011, Volume: 74, Issue: 7, Pages: 2515-2522 |
| ISSN: | 1873-5215 |
| DOI: | 10.1016/j.na.2010.12.007 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1016/j.na.2010.12.007 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0362546X10008382 
|
| Author Notes: | Evgeni Y. Ovcharov |
| Summary: | We show that the Strichartz estimates for the kinetic transport equation containingLx∞-norms in the spatial variables x fail on the characteristic functions of Besicovitch sets. |
|---|---|
| Item Description: | Available online: 22 December 2010 Gesehen am 29.05.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1873-5215 |
| DOI: | 10.1016/j.na.2010.12.007 |