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Middle frequency band and remark on Koch–Tataru's iteration space.
- Source :
-
International Journal of Wavelets, Multiresolution & Information Processing . Jul2023, Vol. 21 Issue 4, p1-11. 11p. - Publication Year :
- 2023
-
Abstract
- When we wanted to further investigate the results of Bourgain–Pavlović, Koch–Tataru and Li–Xiao–Yang, we encountered the problem of stability of the parameter flow. For initial data in some space X , norm inflation implies that the solution does not belong to C (X). For BMO − 1 , Auscher–Dubois–Tchamitchian proved that Koch–Tataru's solution is stable in their defined space C 0 . In this paper, we consider Koch–Tataru's iteration space and construct a non-Gauss flow function to show that C 0 -stability may have meaning different to L ∞ (( BMO − 1) n) , which supports Chemin and Gallagher's point: well-posedness and norm inflation may have no conflict. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMMERCIAL space ventures
*NAVIER-Stokes equations
*PRICE inflation
Subjects
Details
- Language :
- English
- ISSN :
- 02196913
- Volume :
- 21
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of Wavelets, Multiresolution & Information Processing
- Publication Type :
- Academic Journal
- Accession number :
- 164665316
- Full Text :
- https://doi.org/10.1142/S0219691323500030