A remark on non-local operators with variable order
Toshihiro Uemura
Source: Osaka J. Math. Volume 46, Number 2 (2009), 503-514.
Abstract
We reveal a relationship between the non-local operator $\mathcal{L}$ with variable order having $n$ as a Lévy-type kernel and the symmetric quadratic form defined by the kernel $n$. The relationship is obtained through the carré du champ operator relative to $\mathcal{L}$.
Primary Subjects: 45P05
Secondary Subjects: 31C25, 60J25
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.ojm/1245415681
Zentralblatt MATH identifier:
05578941
2009 © Osaka University and Osaka City University, Departments of Mathematics
Osaka Journal of Mathematics
