Estimates of heat kernel of fractional laplacian perturbed by gradient operators

Estimates of heat kernel of fractional laplacian perturbed by gradient operators

We construct a continuous transition density of the semigroup generated by for and b in the Kato class on . For small time the transition density is comparable with that of the fractional Laplacian.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in mathematical physics 2007-04, Vol.271 (1), p.179-198
Hauptverfasser: BOGDAN, Krzysztof, JAKUBOWSKI, Tomasz
Format: Artikel
Sprache:eng
Schlagworte:
Density
Exact sciences and technology
Mathematical analysis
Mathematics
Operator theory
Operators (mathematics)
Sciences and techniques of general use
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We construct a continuous transition density of the semigroup generated by for and b in the Kato class on . For small time the transition density is comparable with that of the fractional Laplacian.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-006-0178-y