REGULARITY OF POISSON EQUATION IN SOME LOGARITHMIC SPACE
In this note, the regularity of Poisson equation -△u = f with f lying in logarithmic function space L^P（LogL）^a（Ω）（1 〈 p 〈 ∞, a ∈ R） is studied. The result of the note generalizes the W^2,p estimate of Poisson equation in L^P（Ω）.
Gespeichert in:
| Veröffentlicht in: | Applied Mathematics-A Journal of Chinese Universities 2007-03, Vol.22 (1), p.29-36 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | In this note, the regularity of Poisson equation -△u = f with f lying in logarithmic function space L^P（LogL）^a（Ω）（1 〈 p 〈 ∞, a ∈ R） is studied. The result of the note generalizes the W^2,p estimate of Poisson equation in L^P（Ω）. |
|---|---|
| ISSN: | 1005-1031 1993-0445 |
| DOI: | 10.1007/s11766-007-0005-z |